COMPOSITION OPERATORS ON SOBOLEV SPACES AND WEIGHTED MODULI INEQUALITIES

被引：0
作者：
Gol'dshtein, Vladimir [1 ]
Sevost'yanov, Evgeny [2 ,3 ]
Ukhlov, Alexander [1 ]
机构：
[1] Ben Gurion Univ Negev, POB 653, IL-8410501 Beer Sheva, Israel
[2] Zhytomyr Ivan Franko State Univ, 40 Bolshaya Berdichevskaya Str, UA-10008 Zhytomyr, Ukraine
[3] NAS Ukraine, Inst Appl Math & Mech, 19 Henerala Batiuka Str, UA-84100 Sloviansk, Ukraine
来源：
MATHEMATICAL REPORTS | 2024年 / 26卷 / 02期
关键词：
Sobolev spaces; quasiconformal mappings; DISCRETE OPEN MAPPINGS; HOMEOMORPHISMS;
D O I：
10.59277/mrar.2024.26.76.2.101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study connections between composition operators on Sobolev spaces and mappings defined by p-moduli inequalities (p-capacity inequalities). We prove that weighted moduli inequalities lead to composition operators on corresponding Sobolev spaces and conversely, that composition operators on Sobolev spaces imply weighted moduli inequalities.
引用
收藏
页码：101 / 113
页数：13
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