On mappings generating embedding operators in Sobolev classes on metric measure spaces

被引：0

作者：

Menovschikov, Alexander ^{[1
]}

Ukhlov, Alexander ^{[2
]}

机构：

[1] HSE Univ, Dept Math, Moscow, Russia

[2] Ben Gurion Univ Negev, Dept Math, POB 653, IL-8410501 Beer Sheva, Israel

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 551卷 / 02期

关键词：

Sobolev spaces; Composition operators; Metric measure spaces; QUASI-CONFORMAL MAPPINGS; GEOMETRIC-PROPERTIES; NEUMANN PROBLEM; VALUES; MINIMIZERS; EXTENSION; VARIABLES;

D O I：

10.1016/j.jmaa.2025.129716

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study homeomorphisms phi : Omega -> (Omega) over tilde that generate embedding operators in Sobolev classes on metric measure spaces X by the composition rule phi*(f ) = f degrees phi. In turn, this leads to Sobolev type embedding theorems for a wide class of domains (Omega) over tilde subset of X. (c) 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：23

共 53 条

[1] A GENERAL CHAIN RULE FOR DISTRIBUTIONAL DERIVATIVES [J].