Boundary Behavior of $\mathscr{Q}_{q,p}$-homeomorphisms in metric measure spaces

Sergey K. Vodopyanov; Danil A.Sboev

Boundary Behavior of $\mathscr{Q}_{q,p}$-homeomorphisms in metric measure spaces

Sergey K. Vodopyanov

0009-0008-4027-9161

Scopus Author ID: 8356929100

Researcher ID: 2073

1. Sobolev Institute of Mathematics SBRAS, Novosibirsk, Russia

vodopis@math.nsc.ru

Danil A.Sboev

Scopus Author ID: 58749493100

Researcher ID: 1281424

1. Novosibirsk State University, Novosibirsk, Russia

d.sboev@g.nsu.ru

The material was received by the Editorial Board: 10.07.2025

We investigate a problem of boundary behavior of $\mathscr{Q}_{q,p}$-homeomorphisms between domains in metric measure spaces.

УДК 517.518+517.54

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Keywords: mertic measure space, Sobolev space, homeomorphism of Reshetnyak class, quasiconformal analysis, composition operator, capacity of condenser, capacity boundary.

References: Sergey K. Vodopyanov, Danil A. Sboev Boundary Behavior of $\mathscr{Q}_{q,p}$-homeomorphisms in metric measure spaces. Mat. Trudy. 2025, 28, №4. P. 11–45. DOI: 10.25205/1560-750X-2025-28-4-11-45