Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Alexander Menovschikov; Alexander Ukhlov

doi:10.1007/s40315-023-00484-6

Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Alexander Menovschikov, Alexander Ukhlov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

Original language	English
Pages (from-to)	149-162
Number of pages	14
Journal	Computational Methods and Function Theory
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s40315-023-00484-6
State	Published - 1 Jun 2023

Keywords

30C65
46E35
Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

Analysis
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1007/s40315-023-00484-6

Cite this

@article{8a8da5f105f24bfdaa9050de6661814d,

title = "Composition Operators on Sobolev Spaces and Q-Homeomorphisms",

abstract = "In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.",

keywords = "30C65, 46E35, Quasiconformal mappings, Sobolev spaces",

author = "Alexander Menovschikov and Alexander Ukhlov",

note = "Funding Information: A. Menovschikov was supported by the grant GA{\v C}R 20-19018Y. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2023",

month = jun,

day = "1",

doi = "10.1007/s40315-023-00484-6",

language = "English",

volume = "24",

pages = "149--162",

journal = "Computational Methods and Function Theory",

issn = "1617-9447",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Composition Operators on Sobolev Spaces and Q-Homeomorphisms

AU - Menovschikov, Alexander

AU - Ukhlov, Alexander

N1 - Funding Information: A. Menovschikov was supported by the grant GAČR 20-19018Y. Publisher Copyright: © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2023/6/1

Y1 - 2023/6/1

N2 - In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

AB - In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

KW - 30C65

KW - 46E35

KW - Quasiconformal mappings

KW - Sobolev spaces

UR - http://www.scopus.com/inward/record.url?scp=85160830144&partnerID=8YFLogxK

U2 - 10.1007/s40315-023-00484-6

DO - 10.1007/s40315-023-00484-6

M3 - Article

AN - SCOPUS:85160830144

SN - 1617-9447

VL - 24

SP - 149

EP - 162

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

IS - 1

ER -

Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this