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

页码：101 / 113

页数：13

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