Found 69 Documents (Results 1–69)
The forgotten parameter in grand Lebesgue spaces. (English) Zbl 1529.46019
Reviewer: Oleksiy Karlovych (Lisboa)
MSC:
46E30
Generalizing algebraically defined norms. (English) Zbl 1504.46032
Reviewer: Oleksiy Karlovych (Lisboa)
Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\). (English. French summary) Zbl 1486.46037
Reviewer: Şerban Costea (Piteşti)
Boundedness of the Dunkl-Hausdorff operator in Lebesgue spaces. (English) Zbl 07524120
Reviewer: Pan Lian (Tianjin)
Modulars from Nakano onwards. (English) Zbl 1488.46016
On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces. (English) Zbl 1479.46034
An estimate of the blow-up of Lebesgue norms in the non-tempered case. (English) Zbl 1465.46031
MSC:
46E30
\(H=W\) Musielak spaces framework. (English) Zbl 1460.46019
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 447-464 (2020).
Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation. (English) Zbl 1442.46014
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces. (English) Zbl 1442.46025
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 847-864 (2019).
Characterization of interpolation between grand, small or classical Lebesgue spaces. (English) Zbl 1409.46025
Modular inequalities for the maximal operator in variable Lebesgue spaces. (English) Zbl 1412.42047
Reviewer: Julià Cufí (Bellaterra)
Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications. (English) Zbl 1400.42010
On grand and small Lebesgue and Sobolev spaces and some applications to PDE’s. (English) Zbl 1398.46025
Embeddings between grand, small, and variable Lebesgue spaces. (English. Russian original) Zbl 1390.46031
Math. Notes 102, No. 5, 677-686 (2017); translation from Mat. Zametki 102, No. 5, 736-748 (2017).
MSC:
46E30
Pointwise estimates for \(G\Gamma\)-functions and applications. (English) Zbl 1413.35161
Reviewer: Maria Alessandra Ragusa (Catania)
The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions. (English) Zbl 1530.47060
Variable exponents and grand Lebesgue spaces: some optimal results. (English) Zbl 1351.46024
MSC:
46E30
A local estimate for the maximal function in Lebesgue spaces with EXP-type exponents. (English) Zbl 1327.42021
Reviewer: Sunggeum Hong (Gwangju)
Convergence in measure of approximate identities in variable Lebesgue spaces. (English) Zbl 1317.42020
Introduction to the variable Lebesgue spaces. (English) Zbl 1337.46025
Tikhonov, Sergey (ed.), Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0839-2/pbk; 978-3-0348-0840-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 3-9 (2014).
Reviewer: Jan-David Hardtke (Berlin)
Estimates for imaginary powers of Laplace operator in variable Lebesgue spaces and applications. (English) Zbl 1319.42012
J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 5, 232-240 (2014) and Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 5, 11-22 (2014).
Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces. (English) Zbl 1312.42017
Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. (English) Zbl 1297.46003
Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0839-2/pbk; 978-3-0348-0840-8/ebook). ix, 169 p. (2014).
Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation. (English) Zbl 1267.42019
Variable Lebesgue spaces. Foundations and harmonic analysis. (English) Zbl 1268.46002
Applied and Numerical Harmonic Analysis. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0547-6/hbk; 978-3-0348-0548-3/ebook). ix, 312 p. (2013).
Reviewer: Alexei Yu. Karlovich (Lisboa)
Weighted norm inequalities for the maximal operator on variable Lebesgue spaces. (English) Zbl 1298.42021
Reviewer: Luboš Pick (Praha)
The Riesz potential operator in optimal couples of rearrangement invariant spaces. (English) Zbl 1225.46020
Reviewer: George O. Okikiolu (London)
Relative rearrangement method for estimating dual norms. (English) Zbl 1178.46026
Reviewer: Alexei Yu. Karlovich (Lisboa)
MSC:
46E30
A direct approach to the duality of grand and small Lebesgue spaces. (English) Zbl 1184.46032
Reviewer: Andrzej Smajdor (Kraków)
Grand Orlicz spaces and global integrability of the Jacobian. (English) Zbl 1162.46019
Reviewer: Alexei Yu. Karlovich (Lisboa)
The maximal theorem for weighted grand Lebesgue spaces. (English) Zbl 1161.42011
Reviewer: Vladimir V. Peller (East Lansing)
Compactness of integral operators in Lebesgue spaces with mixed norm. (English) Zbl 1148.47035
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Some estimates in \(G\Gamma (p,m,w)\) spaces. (English) Zbl 1144.46027
MSC:
46E30
Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent. (English) Zbl 1137.46016
Reviewer: Stefan G. Samko (Faro)
Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications. (English) Zbl 1098.46025
Reviewer: Stefan G. Samko (Faro)
Orlicz capacities and applications to PDEs and Sobolev mappings. (English) Zbl 1160.35384
Bandle, Catherine (ed.) et al., Elliptic and parabolic problems. A special tribute to the work of Haim Brezis. Basel: Birkhäuser (ISBN 3-7643-7249-4/hbk). Progress in Nonlinear Differential Equations and their Applications 63, 259-266 (2005).
On small Lebesgue spaces. (English) Zbl 1078.46017
Reviewer: Giorgi Oniani (Kutaisi)
Endpoint estimates and weighted norm inequalities for commutators of fractional integrals. (English) Zbl 1035.42015
New properties of small Lebesgue spaces and their applications. (English) Zbl 1037.46025
Reviewer: G. O. Okikiolu (London)
Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data. (English) Zbl 1075.35012
The \(A_\infty\) property for Young functions and weighted norm inequalities. (English) Zbl 1041.42009
Small Lebesgue spaces and their applications. (Petits espaces de Lebesgue et quelques applications.) (French. Abridged English version) Zbl 0999.46017
Reviewer: Messoud Efendiev (Berlin)
On some fundamental properties of the maximal operator. (English) Zbl 1096.42519
Edmunds, David E. (ed.) et al., Function spaces and applications. Mainly the proceedings of the international conference on function spaces and applications to partial differential equations, New Delhi, India, December 15–19, 1997. New Delhi: Narosa Publishing House (ISBN 81-7319-335-5/hbk). 69-81 (2000).
Duality and reflexivity in grand Lebesgue spaces. (English) Zbl 0960.46022
Reviewer: A.Fioranza (Napoli)
MSC:
46E30
On the domain and range of the maximal operator. (English) Zbl 1039.42015
Reviewer: Lourdes Rodríguez-Mesa (La Laguna)
On very weak entire solutions on nonlinear partial differential equations. (English. French, Italian summaries) Zbl 0954.35060
A formula for the Boyd indices in Orlicz spaces. (English) Zbl 0931.46025
Reviewer: G.O.Okikiolu (London)
MSC:
46E30
BMO regularity for one-dimensional minimizers of some Lagrange problems. (English) Zbl 0906.49018
Reviewer: L.Ambrosio (Pavia)
An inequality for Jensen means. (English) Zbl 0737.46009
Reviewer: S.G.Samko (Rostov-na-Donu)
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