Work

Composition operators on Sobolev spaces and weighted moduli inequalities

Year: 2021

Type: preprint

Abstract: 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 inverse, composition operators on Sobolev spaces imply weighted moduli inequalities.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2112.11418

Authors: Gol'dshtein, Vladimir, Sevost'yanov, Evgeny, Ukhlov, Alexander

Institutions: Ben-Gurion University of the Negev, Zhytomyr Ivan Franko State University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4226033413

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