Found 316 Documents (Results 1–100)
About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators. (English) Zbl 1292.42012
Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2001-2002, Exp. No. 18, 10 p. (2002).
Average width of Hölder-Nikolskii-Wiener classes with mixed smoothness in \(L_q(\mathbb R^d)\). (Chinese. English summary) Zbl 1264.46026
Kolmogorov width of classes of smooth functions on the sphere \({\mathbb S^{d-1}}\). (English) Zbl 1264.41024
Logarithmic Sobolev inequalities for birth-death process and diffusion process on the line. (English) Zbl 1153.60386
An approximate gradient and Sobolev derivatives. (Russian. English summary) Zbl 1144.49303
Sobolev algebras and \(m\)-convex structure. (Algèbres de Sobolev et structure \(m\)-convexe.) (French) Zbl 1145.46304
Reviewer: Wiesław Tadeusz Żelazko (Warszawa)
On the asymptotics of the distribution of approximation numbers of embeddings of weighted Sobolev classes. II. (Russian) Zbl 1134.46308
On the asymptotics of the distribution of the approximation numbers of embeddings of weighted Sobolev classes. I. (Russian) Zbl 1134.46307
Superposition operators in Sobolev spaces. (English. Russian original) Zbl 1246.30044
Dokl. Math. 66, No. 2, 253-256 (2002); translation from Dokl. Akad. Nauk 386, No. 6, 730-734 (2002).
Hierarchical bases in reflexive Banach spaces and optimal cubature formulas. (English) Zbl 1259.65057
Dokl. Math. 66, No. 1, 9-13 (2002) and Dokl. Akad. Nauk, Ross. Akad. Nauk 385, No. 1, 15-19 (2002).
Spaces of functions of fractional smoothness on irregular domains. (English. Russian original) Zbl 1198.46030
Dokl. Math. 65, No. 2, 248-253 (2002); translation from Dokl. Akad. Nauk 383, No. 5, 586-591 (2002).
MSC:
46E35
Extension theorems for energy spaces on composite manifolds and their applications to the theory of stationary ill-conditioned problems. (English. Russian original) Zbl 1198.46031
Dokl. Math. 65, No. 2, 227-231 (2002); translation from Dokl. Akad. Nauk 383, No. 4, 446-450 (2002).
MSC:
46E35
Tauberian theorems for generalized functions in the scale of regularly varying functionals. (Tauberian theorems for distributions in the scale of regularly varying functionals.) (English. Russian original) Zbl 1223.46039
Dokl. Math. 65, No. 2, 180-183 (2002); translation from Dokl. Akad. Nauk 383, No. 2, 156-160 (2002).
An exact constant in one Sobolev-Nirenberg inequality and its application to estimation from below of the blowup time for the nonlinear Schrödinger equation with a critical degree. (English. Russian original) Zbl 1146.35414
Dokl. Math. 65, No. 1, 135-138 (2002); translation from Dokl. Akad. Nauk 382, No. 6, 750-753 (2002).
Trace and extension theorems. (English. Russian original) Zbl 1229.46025
Dokl. Math. 65, No. 1, 108-110 (2002); translation from Dokl. Akad. Nauk 382, No. 6, 744-746 (2002).
Reviewer: Dorothee Haroske (Jena) (MR1932212)
MSC:
46E35
Integral representations and embedding theorems for functions defined on the Heisenberg groups \(\mathbb H^n\). (English. Russian original) Zbl 1146.22300
Dokl. Math. 65, No. 1, 68-71 (2002); translation from Dokl. Akad. Nauk 382, No. 4, 456-459 (2002).
\(\mathcal P\)-differentiability of mappings of Sobolev classes on the Carnot group. (English. Russian original) Zbl 1229.58009
Dokl. Math. 65, No. 1, 39-43 (2002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 382, No. 3, 305-309 (2002).
Best orthogonal trigonometric approximations of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of many variables. (Ukrainian) Zbl 1129.42318
Stepanets’, O.I. (ed.), Teoriya nablyzhennya funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2617-9). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta {ïï} Zastosuvannya 35, 195-208 (2002).
Boundary values of operator-valued functions and trace class perturbations. (English) Zbl 1101.47301
Newtonian spaces with zero boundary values. (English) Zbl 1097.46020
MSC:
46E35
Inversion and characterization of Riesz potentials in weighted spaces via approximative inverse operators. (English) Zbl 1080.42018
An extremum problem for a functional in the reproducing kernel space \(W_2^1(\mathbb{R})\). (Chinese. English summary) Zbl 1076.46511
Exact solutions for a class of nonlinear integral equations in a reproducing kernel space. (Chinese. English summary) Zbl 1076.46510
Orthogonal decompositions of Sobolev spaces in Clifford analysis. (English) Zbl 1102.30049
Reviewer: Uwe Kähler (Aveiro)
Compact embedding of a degenerate Sobolev space and existence of entire solutions to a semilinear equation for a Grushin-type operator. (English) Zbl 1072.35073
Reviewer: Marlène Frigon (Montréal)
Imbedding and extension theorems for the Banach-valued Besov spaces \(B^l_{p,\theta}(G,E)\). (English) Zbl 1081.46504
Approximate characterization of UMD-valued Besov space \(S^\alpha_{p,\theta}B(\mathbb{R}^n,E)\) with dominating mixed derivative. (English) Zbl 1085.46508
Integral and derivative operators of functional order on generalized Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type. (English) Zbl 1091.26002
Sharp affine \(L_ p\) Sobolev inequalities. (English) Zbl 1073.46027
Reviewer: Salvador Gomis (Alicante)
On Hölder continuity of functions in Sobolev spaces. (English. Russian original) Zbl 1064.46023
Vestn. St. Petersbg. Univ., Math. 35, No. 4, 34-36 (2002); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2002, No. 4, 25-27 (2002).
MSC:
46E35
Shift theorems for the biharmonic Dirichlet problem. (English) Zbl 1068.65134
Chan, Tony F. (ed.) et al., Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1–7, 2001. New York, NY: Kluwer Academic / Plenum Publishers (ISBN 0-306-47420-4/hbk). 1-26 (2002).
Symmetric Legendre-Sobolev orthogonal polynomials in the Pontryagin-Sobolev spaces. (Russian. English summary) Zbl 1074.46501
Stochastic fractional order differential models on fractals. (English) Zbl 1050.60047
Teor. Jmovirn. Mat. Stat. 67, 130-146 (2002); and Theory Probab. Math. Stat. 67, 145-162 (2003).
Reviewer: N. M. Zinchenko (Kyïv)
A survey of pointwise interpolation inequalities for integer and fractional derivatives. (English) Zbl 1110.26019
Wirgin, Armand (ed.), Acoustics, mechanics, and the related topics of mathematical analysis. Proceedings of the international conference to celebrate Robert P. Gilbert’s 70th birthday, Frejus, France, June 18–22, 2002. River Edge, NJ: World Scientific (ISBN 981-238-264-X/hbk). 212-221 (2002).
Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk)
On the boundedness of functions from an anisotropic weighted space satisfying some integral inequalities. (English) Zbl 1106.35307
Wirgin, Armand (ed.), Acoustics, mechanics, and the related topics of mathematical analysis. Proceedings of the international conference to celebrate Robert P. Gilbert’s 70th birthday, Frejus, France, June 18–22, 2002. River Edge, NJ: World Scientific (ISBN 981-238-264-X/hbk). 100-107 (2002).
Reviewer: Messoud A. Efendiev (Berlin)
On properties of a class of matrix differential operators in \(\mathbb R^n\). (English) Zbl 1053.35047
Reviewer: V. Grebenev (Novosibirsk)
Computation of large-scale quadratic forms and transfer functions using the theory of moments, quadrature and Padé approximation. (English) Zbl 1054.65039
Bourlioux, Anne (ed.) et al., Modern methods in scientific computing and applications. Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques Supérieures on modern methods in scientific computing and applications, Montréal, Québec, Canada, July 9–20, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0782-5/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 75, 1-30 (2002).
How to recognize constant functions. Connections with Sobolev spaces. (English. Russian original) Zbl 1072.46020
Russ. Math. Surv. 57, No. 4, 693-708 (2002); translation from Usp. Mat. Nauk 57, No. 4, 59-74 (2002).
Reviewer: Thomas Sonar (Braunschweig)
The Gel’fand widths of anisotropic Sobolev classes of smooth functions. (English) Zbl 1049.46020
Reviewer: Walter Farkas (Zürich)
MSC:
46E35
Characterization of function spaces with non-integer order of smoothness in terms of harmonic extensions. (Russian) Zbl 1060.46022
Reviewer: Andrei Zemskov (Moskva)
MSC:
46E35
Measures of noncompactness. (English) Zbl 1050.47050
Reviewer: Alexander Kachurovskij (Novosibirsk)
Superposition operators in the Lebesgue spaces and differentiability of quasiadditive set functions. (Russian) Zbl 1050.47031
Reviewer: N. A. Kudryavtseva (Novosibirsk)
Embedding theorems for weighted function Besov spaces with a mixed norm. (Russian) Zbl 1051.46018
Reviewer: N. A. Kudryavtseva (Novosibirsk)
MSC:
46E35
Integral inequalities in anisotropic Sobolev spaces. (Russian) Zbl 1051.46017
Reviewer: N. A. Kudryavtseva (Novosibirsk)
MSC:
46E35
Measurable bundles of noncommutative \(L_{p}\)-spaces associated with a center-valued trace. (English) Zbl 1052.46045
A characterization of compact parts of \(L^ p\) spaces application to Sobolev embeddings. (English) Zbl 1082.46023
Reviewer: Messoud A. Efendiev (Berlin)
Sobolev extension domains on metric spaces of homogeneous type. (English) Zbl 1082.46024
Reviewer: Messoud A. Efendiev (Berlin)
Nonlinear piecewise polynomial approximation of functions from Besov spaces. (English) Zbl 1065.41010
Adaptive widths of the approximation functional on the Sobolev space \(W_2^r\) with Gaussian measure. (English) Zbl 1097.46018
Nonlinear approximation by refinable functions and piecewise polynomials. (English) Zbl 1073.41002
Chui, Charles K. (ed.) et al., Approximation theory X. Abstract and classical analysis. Papers from the 10th international symposium, St. Louis, MO, USA, March 26–29, 2001. Nashville, TN: Vanderbilt University Press (ISBN 0-8265-1415-4/hbk). Innovations in Applied Mathematics, 91-112 (2002).
Reviewer: Gerlind Plonka (Duisburg)
Hardy-Sobolev spaces of complex tangential derivatives of holomorphic functions in domains of finite type. (English) Zbl 1133.46302
Fourier coefficients of functions in the Besov-Nikolskii class. (English. Russian original) Zbl 1119.42300
Mosc. Univ. Math. Bull. 57, No. 6, 26-35 (2002); translation from Vestn. Mosk. Univ., Ser. I 2002, No. 6, 26-35 (2002).
Reviewer: L. N. Chernetskaja (Kyïv)
Approximation by Jackson entire interpolation operator in the Besov space. (Chinese. English summary) Zbl 1045.46019
The polynomial spline interpolation approximation of anisotropic Sobolev classes. (Chinese. English summary) Zbl 1096.41500
Embeddings of classes of continuous functions in classes of functions of generalized bounded variation. (English. Russian original) Zbl 1042.42013
Sb. Math. 193, No. 7, 1049-1070 (2002); translation from Mat. Sb. 193, No. 7, 109-130 (2002).
Reviewer: Laszlo Leindler (Szeged)
Parabolic extension of lateral functions in a cylindrical domain. (English) Zbl 1061.46035
MSC:
46E35
Approximation classes for adaptive methods. (English) Zbl 1039.42030
Reviewer: Adhemar Bultheel (Leuven)
Description of the ranges of some potential-type operators with oscillating kernels in the non-elliptic case. (English) Zbl 1052.47045
Reviewer: Dagmar Medková (Praha)
\(L_ p\to L_ q\)-estimates for some potential-type operators with oscillating kernels. (English) Zbl 1035.47017
Inequalities of Hardy-Sobolev type in unbounded domains. (Inégalités de type Hardy-Sobolev sur des domaines non bornés.) (French) Zbl 1042.26009
Reviewer: Grzegorz Karch (Wrocław)
Symmetrization and functionals defined on BV. (English) Zbl 1045.49029
Dal Maso, Gianni (ed.) et al., Variational methods for discontinuous structures. International workshop, Villa Erba (Cernobbio), Italy, July 4–6, 2001. Basel: Birkhäuser (ISBN 3-7643-6913-2/hbk). Prog. Nonlinear Differ. Equ. Appl. 51, 91-102 (2002).
Reviewer: Giuseppe Buttazzo (Pisa)
A Dirichlet series related to eigenvalues of the Laplacian for congruence subgroups. (English) Zbl 1042.11029
Bennett, M. A. (ed.) et al., Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Natick, MA: A K Peters (ISBN 1-56881-126-8/hbk). 153-181 (2002).
Reviewer: Jürgen Elstrodt (Münster)
A note on Fourier multipliers and Sobolev spaces. (English) Zbl 1036.42004
Leindler, L. (ed.) et al., Functions, series, operators. Alexits memorial conference in honor of the 100th anniversary of the birth of Professor George Alexits (1899–1978), Budapest, Hungary, August 9–13, 1999. Budapest: János Bolyai Mathematical Society (ISBN 963-9453-00-5/hbk). 321-325 (2002).
Reviewer: Kôzô Yabuta (Nishinomiya)
Sharp embeddings in function spaces. (English) Zbl 1060.46025
Leindler, L. (ed.) et al., Functions, series, operators. Alexits memorial conference in honor of the 100th anniversary of the birth of Professor George Alexits (1899–1978), Budapest, Hungary, August 9–13, 1999. Budapest: János Bolyai Mathematical Society (ISBN 963-9453-00-5/hbk). 39-73 (2002).
Reviewer: Josef Wloka (Kiel)
MSC:
46E35
Euler products and abstract trace formulas. (English) Zbl 1036.11040
Bennett, M. A. (ed.) et al., Number theory for the millennium II. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Natick, MA: A K Peters (ISBN 1-56881-146-2/hbk). 291-306 (2002).
Reviewer: Anton Deitmar (Exeter)
MSC:
11M36
Improved \(C^{k,\lambda}\) approximation of higher order Sobolev functions in norm and capacity. (English) Zbl 1036.46023
Reviewer: René L. Schilling (Brighton)
Geometry of manifolds and mappings of Sobolev classes. (Russian) Zbl 1042.53023
Reviewer: V. Grebenev (Novosibirsk)
Approximation in Sobolev spaces of nonlinear expressions involving the gradient. (English) Zbl 1029.46028
Reviewer: Joan Cerda (Barcelona)
MSC:
46E35
Failure of the condition N below \(W^{1,n}\). (English) Zbl 1027.26015
Reviewer: Jiří Rákosník (Praha)
The Poincaré-Hardy inequality on the complement of a Cantor set. (English) Zbl 1066.26009
Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6762-8/hbk). Oper. Theory, Adv. Appl. 134, 188-208 (2002).
Elementary proof of the non-tangential characterization of Lipschitz spaces. (English) Zbl 1034.46030
Bakić, D. (ed.) et al., Functional analysis VII. Proceedings of the postgraduate school and conference, Dubrovnik, Croatia, September 17–26, 2001. Aarhus: University of Aarhus, Department of Mathematical Sciences. Var. Publ. Ser., Aarhus Univ. 46, 181-186 (2002).
MSC:
46E35
Some new applications of the pointwise relations for the relative rearrangement. (English) Zbl 1039.46031
Reviewer: Denise Huet (Nancy)
Maass cusp forms with integer coefficients. (English) Zbl 1035.11023
Wüstholz, Gisbert (ed.), A panorama in number theory or The view from Baker’s garden. Based on a conference in honor of Alan Baker’s 60th birthday, Zürich, Switzerland, 1999. Cambridge: Cambridge University Press (ISBN 0-521-80799-9/hbk). 121-127 (2002).
Reviewer: Jürgen Elstrodt (Münster)
An improved Poincaré inequality and the \(p\)-Laplacian at resonance for \(p>2\). (English) Zbl 1208.35049
Asymptotics for sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds. (English) Zbl 1044.58031
Reviewer: Christian Bär (Potsdam)
Reduction of Sobolev spaces in \(\mathbb R^n\) to Sobolev spaces over \(2n\)-dimensional torus \(T^{2n}\). (English. Russian original) Zbl 1075.46508
Mosc. Univ. Math. Bull. 57, No. 3, 40-42 (2002); translation from Vestn. Mosk. Univ., Ser. I 2002, No. 3, 60-63 (2002).
On the Brezis and Mironescu conjecture concerning a Gagliardo–Nirenberg inequality for fractional Sobolev norms. (English) Zbl 1036.46026
Reviewer: Hans Triebel (Jena)
MSC:
46E35
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. (English) Zbl 1112.35310
A density result in Sobolev spaces. (English) Zbl 1033.46029
Reviewer: Stefan G. Samko (Faro)
Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition? (English) Zbl 1073.35020
Reviewer: Marco Biroli (Milano)
Integral representation and \(\Gamma\)-convergence of variational integrals with \(p(x)\)-growth. (English) Zbl 1036.49022
The subconvexity problem for Artin \(L\)-functions. (English) Zbl 1056.11072
Reviewer: Rainer Schulze-Pillot (Saarbrücken)
Maximal inequality in \((s,m)\)-uniform domains. (English) Zbl 1026.46022
Reviewer: Leszek Skrzypczak (Poznań)
MSC:
46E35
Symmetrization of functions from the Sobolev spaces. (English. Russian original) Zbl 1037.46032
Russ. Math. 46, No. 11, 41-47 (2002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 11, 45-51 (2002).
Reviewer: Josef Wloka (Kiel)
MSC:
46E35
Superposition operators in Sobolev spaces. (English. Russian original) Zbl 1033.47020
Russ. Math. 46, No. 10, 9-31 (2002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 10, 11-33 (2002).
Reviewer: Mihai Turinici (Iaşi)
Classes \(L_{p,r}^\alpha\) of Lizorkin-Samko type, related to complex powers of the telegraph operator. (English. Russian original) Zbl 1031.46037
Russ. Math. 46, No. 7, 56-62 (2002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2002, No. 7, 58-64 (2002).
Reviewer: Stefan G.Samko (Faro)
MSC:
46E35
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