A. D.-O. Ukhlov, “On mappings generating the embeddings of Sobolev spaces”, Sibirsk. Mat. Zh., 34:1 (1993), 185–192; Siberian Math. J., 34:1 (1993), 165

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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 1, Pages 185–192 (Mi smj1707)

This article is cited in 69 scientific papers (total in 69 papers)

On mappings generating the embeddings of Sobolev spaces

A. D.-O. Ukhlov

Full-text PDF (651 kB) Citations (69)

Abstract: Composition of functions of a Sobolev space and mappings given on Euclidean domains is considered. Equivalent analytic and geometric descriptions are obtained for the class of mappings generating bounded embeddings of Sobolev spaces.

Received: 18.06.1991
Revised: 02.12.1991

English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 1, Pages 165–171
DOI: https://doi.org/10.1007/BF00971252

Bibliographic databases:

UDC: 517.54

Language: Russian

Citation: A. D.-O. Ukhlov, “On mappings generating the embeddings of Sobolev spaces”, Sibirsk. Mat. Zh., 34:1 (1993), 185–192; Siberian Math. J., 34:1 (1993), 165–171

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/smj1707

https://www.mathnet.ru/eng/smj/v34/i1/p185

This publication is cited in the following 69 articles:

Alexander Menovschikov, Alexander Ukhlov, “Capacity of rings and mappings generate embeddings of Sobolev spaces”, Journal of Mathematical Analysis and Applications, 531:1 (2024), 127826
Valerii Pchelintsev, Alexander Ukhlov, “Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains”, J Math Sci, 281:5 (2024), 805
VLADIMIR GOL'DSHTEIN, EVGENY SEVOST'YANOV, ALEXANDER UKHLOV, “COMPOSITION OPERATORS ON SOBOLEV SPACES AND”, MR, 26(76):2 (2024), 101
Alexander Menovschikov, “Eigenvalues of the Neumann Laplacian with Density and Sharp Sobolev–Orlicz Embeddings”, J Math Sci, 281:5 (2024), 782
Ivan Kolesnikov, Valerii Pchelintsev, “Spectral Estimates of the Dirichlet-Laplace Operator in Conformal Regular Domains”, J Math Sci, 281:5 (2024), 677
Nataliya Ilkevych, Evgeny Sevost'yanov, Alexander Ukhlov, “On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends”, Complex Anal. Oper. Theory, 18:4 (2024)
Pekka Koskela, Zheng Zhu, “Sobolev Extensions over Cantor-Cuspidal Graphs”, J Math Sci, 281:5 (2024), 706
N. Evseev, A. Menovschikov, “Decomposable operators acting between distinct $L^p$ -direct integrals of Banach spaces”, Anal Math, 2024
A. O. Tomilov, “An estimate for the measure of the preimage of a ball under $Q_{q,p}$ -homeomorphisms”, Siberian Math. J., 65:6 (2024), 1395–1401
Alexander Ukhlov, “On geometric characterizations of mappings generating composition operators on Sobolev spaces”, UMB, 21:1 (2024), 120
Izv. Math., 87:4 (2023), 683–725
Tadeusz Iwaniec, Jani Onninen, Zheng Zhu, “Bi-Sobolev boundary singularities”, Complex Anal Synerg, 9:1 (2023)
A. Menovshchikov, A. Ukhlov, “Mappings Generating Embedding Operators in Orlicz-Sobolev Spaces”, J Math Sci, 276:1 (2023), 117
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov, “On the boundary behavior of weak (p,q)-quasiconformal mappings”, UMB, 19:4 (2023), 478
Vladimir Gutlyanskii, Vladimir Ryazanov, Ruslan Salimov, Evgeny Sevost'yanov, “On isolated singularities of mappings with finite length distortion”, UMB, 20:3 (2023), 400
V. Gutlyanskiǐ, V. Ryazanov, R. Salimov, E. Sevost'yanov, “On isolated singularities of mappings with finite length distortion”, J Math Sci, 276:5 (2023), 652
Hashash P., Ukhlov A., “On Lipschitz Approximations in Second Order Sobolev Spaces and the Change of Variables Formula”, J. Math. Anal. Appl., 506:2 (2022), 125659
S. K. Vodopyanov, “Coincidence of set functions in quasiconformal analysis”, Sb. Math., 213:9 (2022), 1157–1186
S. K. Vodopyanov, N. A. Evseev, “Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups”, Siberian Math. J., 63:2 (2022), 233–261
S. K. Vodopyanov, “TWO-WEIGHTED COMPOSITION OPERATORS ON SOBOLEV SPACES AND QUASICONFORMAL ANALYSIS”, J Math Sci, 266:3 (2022), 491

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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