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The boundary behavior of Q_(p,q)-homeomorphisms Full article

Journal Известия Российской академии наук. Серия математическая
ISSN: 1607-0046 , E-ISSN: 2587-5906
Output data Year: 2023, Volume: 87, Number: 4, Pages: 47–90 Pages count : 44 DOI: 10.4213/im9376
Tags quasiconformal analysis, Sobolev space, composition operator, capacity of a condenser, capacity metric, capacity boundary
Authors Vodopyanov S.K. 1 , Molchanova A.O. 2
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
2 University of Vienna, Vienna, Austria

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0006

Abstract: This article studies systematically the boundary correspondence problem for Q_(p,q)-homeomorphisms. The presented example demonstrates a deformation of the Euclidean boundary with the weight function degenerating on the boundary.
Cite: Vodopyanov S.K. , Molchanova A.O.
The boundary behavior of Q_(p,q)-homeomorphisms
Известия Российской академии наук. Серия математическая. 2023. V.87. N4. P.47–90. DOI: 10.4213/im9376 РИНЦ OpenAlex
Translated: Vodopyanov S.K. , Molchanova A.O.
The boundary behavior of Qp,q-homeomorphisms
Izvestiya Mathematics. 2023. V.87. N4. P.683-725. DOI: 10.4213/im9376e WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: May 11, 2022
Accepted: Oct 6, 2022
Published print: Jul 26, 2023
Published online: Jul 26, 2023
Identifiers:
Elibrary: 54212859
OpenAlex: W4385285288
Citing:
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Elibrary 2
OpenAlex 1
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