On the theory of generalized quasiconformal mappings

被引：0
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作者：
Gol’dshtein V. [1 ]
Sevost’yanov E. [2 ,3 ]
Ukhlov A. [1 ]
机构：
[1] Department of Mathematics, Ben-Gurion University of the Negev, P.O.Box 653, Beer Sheva
[2] Department of Mathematical Analysis, Zhytomyr Ivan Franko State University, 40 Velyka Berdychivs’ka Str., Zhytomyr
[3] Institute of Applied Mathematics and Mechanics of NAS of Ukraine, 19 Henerala Batyuka Str., Slov’yans’k
来源：
Complex Analysis and its Synergies | 2024年 / 10卷 / 1期
关键词：
Quasiconformal mappings; Sobolev spaces;
D O I：
10.1007/s40627-023-00128-4
中图分类号：
学科分类号：
摘要：
We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic Hölder continuity for such classes of mappings. © 2024, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
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