On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends-Reference-Cited by-同舟云学术

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On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends

Published:2024-05 Issue:4 Volume:18 Page:
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Ilkevych Nataliya,Sevost’yanov Evgeny,Ukhlov Alexander

Abstract

AbstractWe study mappings satisfying the inverse Poletsky type inequality with respect to a non-conformal modulus. It was prove that such mappings, with some additional conditions, have a continuous extension to the boundary in terms of prime ends and form equicontinuous families of mappings.

Funder

Ben-Gurion University

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11785-024-01544-y.pdf

Reference39 articles.

1. Carathéodory, C.: Über die Begrenzung einfach zusammenhängender Gebiete. Math. Ann. 73, 323–370 (1913)

2. Federer, H.: Geometric Measure Theory. Springer Verlag, Berlin (1969)

3. Gol’dshtein, V., Gurov, L., Romanov, A.: Homeomorphisms that induce monomorphisms of Sobolev spaces. Israel J. Math. 91, 31–60 (1995)

4. Gol’dshtein, V., Pchelintsev, V., Ukhlov, A.: On the first eigenvalue of the degenerate p-laplace operator in non-convex domains. Integral Equ. Oper. Theory, 90 90, 43 (2018)

5. Gol’dshtein, V., Sevost’yanov, E., Ukhlov, A.: On the boundary behavior of weak $$(p, q)$$-quasiconformal mappings. J. Math. Sci. (N.Y.) 270, 420–427 (2023)

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