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Caetano, António M.

Co-Author Distance
Author ID: caetano.antonio-m Recent zbMATH articles by "Caetano, António M."
Published as: Caetano, António M.; Caetano, António; Caetano, A. M.; Caetano, A.
Documents Indexed: 43 Publications since 1990, including 1 Additional arXiv Preprint
1 Contribution as Editor
Co-Authors: 19 Co-Authors with 30 Joint Publications
283 Co-Co-Authors
all top 5

Co-Authors

14 single-authored
5 Almeida, Alexandre
4 Gogatishvili, Amiran
4 Haroske, Dorothee D.
4 Lopes, Sofia O.
4 Opic, Bohumír
3 Hewett, David P.
3 Moiola, Andrea
3 Domingues de Moura, Susana
2 Chandler-Wilde, Simon N.
2 Gibbs, Andrew
2 Kempka, Henning
2 Leopold, Hans-Gerd
1 Bento, António J. G.
1 Carvalho, Abel
1 Claeys, Xavier
1 Farkas, Walter
1 Neves, Júlio Severino
1 Seabra, Dina
1 Triebel, Hans
all top 5

Serials

4 Journal of Functional Analysis
4 The Journal of Fourier Analysis and Applications
3 Journal of Approximation Theory
3 Mathematische Nachrichten
2 Studia Mathematica
2 Forum Mathematicum
2 Journal of Function Spaces and Applications
1 Journal of Mathematical Analysis and Applications
1 Control and Cybernetics
1 Czechoslovak Mathematical Journal
1 Dissertationes Mathematicae
1 Fundamenta Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Portugaliae Mathematica
1 Proceedings of the London Mathematical Society. Third Series
1 Zeitschrift für Analysis und ihre Anwendungen
1 Boletim da Sociedade Portuguesa de Matemática
1 Constructive Approximation
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Mathematical Inequalities & Applications
1 Revista Matemática Complutense
1 Acta Mathematica Sinica. English Series
1 Complex Variables and Elliptic Equations
1 Textos de Matemática. Série B
1 Banach Journal of Mathematical Analysis
all top 5

Fields

37 Functional analysis (46-XX)
11 Measure and integration (28-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Operator theory (47-XX)
6 Partial differential equations (35-XX)
2 Real functions (26-XX)
2 Numerical analysis (65-XX)
1 General and overarching topics; collections (00-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

38 Publications have been cited 356 times in 208 Documents Cited by ▼ Year ▼
Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir
29
2008
Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. Zbl 1353.46024
Almeida, Alexandre; Caetano, António
24
2016
Local growth envelopes of spaces of generalized smoothness: The subcritical case. Zbl 1070.46020
Caetano, António M.; Moura, Susana D.
22
2004
Local growth envelopes of spaces of generalized smoothness: the critical case. Zbl 1076.46025
Caetano, António M.; Moura, Susana D.
20
2004
Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír
19
2011
About approximation numbers in function spaces. Zbl 0915.46026
Caetano, António M.
19
1998
Local growth envelopes of Besov spaces of generalized smoothness. Zbl 1119.46032
Caetano, António M.; Farkas, Walter
19
2006
Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers. Zbl 1079.46019
Caetano, António M.; Haroske, Dorothee D.
16
2005
On 2-microlocal spaces with all exponents variable. Zbl 1355.46034
Almeida, Alexandre; Caetano, António
15
2016
Variable exponent Besov-Morrey spaces. Zbl 1445.46033
Almeida, Alexandre; Caetano, António
13
2020
On generalized Besov and Triebel-Lizorkin spaces of regular distributions. Zbl 1291.46031
Caetano, António M.; Leopold, Hans-Gerd
13
2013
Generalized Hardy spaces. Zbl 1204.42030
Almeida, Alexandre; Caetano, António M.
13
2010
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír
12
2016
Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. Zbl 0985.46019
Caetano, António M.
12
2000
Weyl numbers in function spaces. II. Zbl 0788.46036
Caetano, António M.
10
1991
Weyl numbers in function spaces. Zbl 0708.46036
Caetano, António M.
10
1990
Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. Zbl 1122.46017
Caetano, António M.; Leopold, Hans-Gerd
10
2006
On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal \(d\)-sets. Zbl 1253.28003
Carvalho, Abel; Caetano, António
8
2012
Weyl numbers in sequence spaces and sections of unit balls. Zbl 0785.46027
Caetano, António M.
7
1992
Variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1431.42034
Caetano, António; Kempka, Henning
6
2020
Real interpolation of generalized Besov-Hardy spaces and applications. Zbl 1232.46029
Almeida, Alexandre; Caetano, António
6
2011
Traces of Besov spaces on fractal \(h\)-sets and dichotomy results. Zbl 1350.46025
Caetano, António M.; Haroske, Dorothee D.
5
2015
Sharp estimates of approximation numbers via growth envelopes. Zbl 1056.47016
Caetano, António M.; Haroske, Dorothee D.
5
2003
Spectral theory for the fractal Laplacian in the context of \(h\)-sets. Zbl 1228.35157
Caetano, António M.; Lopes, Sofia
4
2011
The fractal Dirichlet Laplacian. Zbl 1254.28004
Caetano, António M.; Lopes, Sofia
4
2011
Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026
Caetano, A.; Gogatishvili, A.; Opic, B.
4
2011
Eigenvalue asymptotics of the Stokes operator for fractal domains. Zbl 0891.35108
Caetano, António M.
4
1998
Density results for Sobolev, Besov and Triebel-Lizorkin spaces on rough sets. Zbl 1475.46033
Caetano, António M.; Hewett, David P.; Moiola, Andrea
4
2021
A homogeneity property for Besov spaces. Zbl 1140.46314
Caetano, António M.; Lopes, Sofia; Triebel, Hans
4
2007
Embeddings of Besov spaces on fractal \(h\)-sets. Zbl 1325.46038
Caetano, António M.; Haroske, Dorothee D.
3
2015
On fractals which are not so terrible. Zbl 1002.28010
Caetano, António M.
3
2002
Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces. Zbl 1172.46019
Caetano, António M.; Lopes, Sofia
3
2009
Growth envelopes of Besov spaces on fractal \(h\)-sets. Zbl 1273.46023
Caetano, António M.
2
2013
On the type of convergence in atomic representations. Zbl 1236.46026
Caetano, António
2
2011
Some domains where the eigenvalues of the Dirichlet Laplacian have non- power second term asymptotic estimates. Zbl 0744.35026
Caetano, António M.
2
1991
Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1473.46040
Caetano, António; Kempka, Henning
2
2021
Approximation by functions of compact support on irregular domains. Zbl 0965.46022
Caetano, António M.
1
2000
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens. Zbl 07839431
Caetano, A. M.; Chandler-Wilde, S. N.; Gibbs, A.; Hewett, D. P.; Moiola, A.
1
2024
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens. Zbl 07839431
Caetano, A. M.; Chandler-Wilde, S. N.; Gibbs, A.; Hewett, D. P.; Moiola, A.
1
2024
Density results for Sobolev, Besov and Triebel-Lizorkin spaces on rough sets. Zbl 1475.46033
Caetano, António M.; Hewett, David P.; Moiola, Andrea
4
2021
Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1473.46040
Caetano, António; Kempka, Henning
2
2021
Variable exponent Besov-Morrey spaces. Zbl 1445.46033
Almeida, Alexandre; Caetano, António
13
2020
Variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1431.42034
Caetano, António; Kempka, Henning
6
2020
Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. Zbl 1353.46024
Almeida, Alexandre; Caetano, António
24
2016
On 2-microlocal spaces with all exponents variable. Zbl 1355.46034
Almeida, Alexandre; Caetano, António
15
2016
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír
12
2016
Traces of Besov spaces on fractal \(h\)-sets and dichotomy results. Zbl 1350.46025
Caetano, António M.; Haroske, Dorothee D.
5
2015
Embeddings of Besov spaces on fractal \(h\)-sets. Zbl 1325.46038
Caetano, António M.; Haroske, Dorothee D.
3
2015
On generalized Besov and Triebel-Lizorkin spaces of regular distributions. Zbl 1291.46031
Caetano, António M.; Leopold, Hans-Gerd
13
2013
Growth envelopes of Besov spaces on fractal \(h\)-sets. Zbl 1273.46023
Caetano, António M.
2
2013
On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal \(d\)-sets. Zbl 1253.28003
Carvalho, Abel; Caetano, António
8
2012
Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír
19
2011
Real interpolation of generalized Besov-Hardy spaces and applications. Zbl 1232.46029
Almeida, Alexandre; Caetano, António
6
2011
Spectral theory for the fractal Laplacian in the context of \(h\)-sets. Zbl 1228.35157
Caetano, António M.; Lopes, Sofia
4
2011
The fractal Dirichlet Laplacian. Zbl 1254.28004
Caetano, António M.; Lopes, Sofia
4
2011
Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026
Caetano, A.; Gogatishvili, A.; Opic, B.
4
2011
On the type of convergence in atomic representations. Zbl 1236.46026
Caetano, António
2
2011
Generalized Hardy spaces. Zbl 1204.42030
Almeida, Alexandre; Caetano, António M.
13
2010
Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces. Zbl 1172.46019
Caetano, António M.; Lopes, Sofia
3
2009
Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir
29
2008
A homogeneity property for Besov spaces. Zbl 1140.46314
Caetano, António M.; Lopes, Sofia; Triebel, Hans
4
2007
Local growth envelopes of Besov spaces of generalized smoothness. Zbl 1119.46032
Caetano, António M.; Farkas, Walter
19
2006
Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. Zbl 1122.46017
Caetano, António M.; Leopold, Hans-Gerd
10
2006
Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers. Zbl 1079.46019
Caetano, António M.; Haroske, Dorothee D.
16
2005
Local growth envelopes of spaces of generalized smoothness: The subcritical case. Zbl 1070.46020
Caetano, António M.; Moura, Susana D.
22
2004
Local growth envelopes of spaces of generalized smoothness: the critical case. Zbl 1076.46025
Caetano, António M.; Moura, Susana D.
20
2004
Sharp estimates of approximation numbers via growth envelopes. Zbl 1056.47016
Caetano, António M.; Haroske, Dorothee D.
5
2003
On fractals which are not so terrible. Zbl 1002.28010
Caetano, António M.
3
2002
Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. Zbl 0985.46019
Caetano, António M.
12
2000
Approximation by functions of compact support on irregular domains. Zbl 0965.46022
Caetano, António M.
1
2000
About approximation numbers in function spaces. Zbl 0915.46026
Caetano, António M.
19
1998
Eigenvalue asymptotics of the Stokes operator for fractal domains. Zbl 0891.35108
Caetano, António M.
4
1998
Weyl numbers in sequence spaces and sections of unit balls. Zbl 0785.46027
Caetano, António M.
7
1992
Weyl numbers in function spaces. II. Zbl 0788.46036
Caetano, António M.
10
1991
Some domains where the eigenvalues of the Dirichlet Laplacian have non- power second term asymptotic estimates. Zbl 0744.35026
Caetano, António M.
2
1991
Weyl numbers in function spaces. Zbl 0708.46036
Caetano, António M.
10
1990
all cited Publications top 5 cited Publications
all top 5

Cited by 210 Authors

18 Caetano, António M.
15 Haroske, Dorothee D.
15 Yang, Dachun
14 Yuan, Wen
12 Cobos, Fernando
11 Domingues de Moura, Susana
10 Dominguez, Oscar
9 Gogatishvili, Amiran
9 Opic, Bohumír
8 Skrzypczak, Leszek
7 Almeida, Alexandre
7 Neves, Júlio Severino
6 Hewett, David P.
6 Sickel, Winfried
6 Triebel, Hans
6 Vybíral, Jan
6 Zhuo, Ciqiang
5 Nicolay, Samuel
5 Schneider, Cornelia
4 Drihem, Douadi
4 Gibbs, Andrew
4 Gonçalves, Helena F.
4 Liu, Jun
4 Moiola, Andrea
4 Pick, Luboš
4 Wu, Suqing
4 Xu, Jingshi
3 Arias, Sergi
3 Besoy, Blanca F.
3 Górka, Przemysław
3 Kempka, Henning
3 Kreit, Damien
3 Li, Ziwei
3 Liu, Liguang
3 Liu, Yin
3 Nguyen, Van Kien
3 Rodríguez-López, Salvador
3 Saibi, Khedoudj
3 Zhang, Shun
2 Abidin, Muhammad Zainul
2 Allalou, Chakir
2 Ashbaugh, Mark S.
2 Bandaliev, Rovshan Alifaga ogly
2 Barthe, Franck
2 Chandler-Wilde, Simon N.
2 Chen, Jiecheng
2 Chen, Zhen-Qing
2 Dota, Alicja
2 Edmunds, David Eric
2 Fang, Gensun
2 Gesztesy, Fritz
2 Gil’, Michael Iosif
2 Hästö, Peter A.
2 Leopold, Hans-Gerd
2 Li, Hongliang
2 Lopes, Sofia O.
2 Mieth, Therese
2 Mitrea, Marius
2 Peša, Dalimil
2 Piotrowski, Mariusz
2 Seghier, Souad Ben
2 Soto, Tomás
2 Teschl, Gerald
2 Tkocz, Tomasz
2 Vasil’eva, Anastasiya Andreevna
2 Wei, Haihua
2 Weisz, Ferenc
2 Yan, Xianjie
1 Ablé, Zobo Vincent de Paul
1 Angulo, José Miguel
1 Anh, Vo V.
1 Arrieta, José M.
1 Artamonov, Sergeĭ Yurievich
1 Azanzal, Achraf
1 Azzouz, Noureddine
1 Balankin, Alexander S.
1 Borbás, Edit
1 Brasseur, Julien
1 Bruè, Elia
1 Butaev, Almaz
1 Cao, Jun
1 Carvalho, Abel
1 Chasapis, Giorgos
1 Chen, Hua
1 Curcă, Eduard
1 Dahlke, Stephan
1 Darougi, Amina
1 del Campo, Ricardo
1 Diening, Lars
1 Dyda, Bartłomiej
1 Dymek, Michał
1 Eskenazis, Alexandros
1 Fang, Chenglong
1 Fernández-Cabrera, Luz M.
1 Fernández Carrión, Antonio
1 Feuto, Justin
1 Gąsiorowska, Alicja
1 Giraudo, Davide
1 Giri, Ratan Kr.
1 Gol’dman, Mikhail L’vovich
...and 110 more Authors
all top 5

Cited in 92 Serials

18 Journal of Approximation Theory
15 Mathematische Nachrichten
12 Journal of Functional Analysis
11 Journal of Mathematical Analysis and Applications
7 Journal of Complexity
7 The Journal of Fourier Analysis and Applications
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Acta Mathematica Sinica. English Series
4 The Journal of Geometric Analysis
4 Revista Matemática Complutense
4 Journal of Function Spaces
3 Advances in Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Zeitschrift für Analysis und ihre Anwendungen
3 Numerical Algorithms
3 Proceedings of the Steklov Institute of Mathematics
3 Banach Journal of Mathematical Analysis
3 Science China. Mathematics
3 Annals of Functional Analysis
2 Analysis Mathematica
2 Mathematical Notes
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Constructive Approximation
2 Potential Analysis
2 Russian Journal of Mathematical Physics
2 Fractals
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Eurasian Mathematical Journal
2 Analysis and Geometry in Metric Spaces
2 Open Mathematics
2 Advances in Operator Theory
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Physics Letters. A
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 The Annals of Probability
1 Annales Polonici Mathematici
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Real Analysis Exchange
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series A
1 Acta Mathematica Hungarica
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Glasnik Matematički. Serija III
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Acta Mathematica Sinica. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Bulletin des Sciences Mathématiques
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Taiwanese Journal of Mathematics
1 Mathematical Inequalities & Applications
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Fractional Calculus & Applied Analysis
1 Journal of Mathematical Fluid Mechanics
1 Milan Journal of Mathematics
1 Analysis in Theory and Applications
1 Analysis and Applications (Singapore)
1 Journal of Function Spaces and Applications
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Acta Mathematica Sinica. Chinese Series
1 GEM - International Journal on Geomathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Azerbaijan Journal of Mathematics
1 Advances in Nonlinear Analysis
1 Journal of Elliptic and Parabolic Equations
1 Frontiers of Mathematics
all top 5

Cited in 23 Fields

161 Functional analysis (46-XX)
76 Harmonic analysis on Euclidean spaces (42-XX)
39 Operator theory (47-XX)
26 Real functions (26-XX)
26 Partial differential equations (35-XX)
22 Measure and integration (28-XX)
20 Approximations and expansions (41-XX)
8 Potential theory (31-XX)
8 Numerical analysis (65-XX)
7 Probability theory and stochastic processes (60-XX)
5 Convex and discrete geometry (52-XX)
4 Functions of a complex variable (30-XX)
3 Fluid mechanics (76-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)

Citations by Year