Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Alexander Menovschikov; Alexander Ukhlov

doi:10.1007/s10958-021-05549-2

Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Alexander Menovschikov, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

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

Abstract

In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators from Hardy–Sobolev spaces to Sobolev spaces.

Original language	American English
Pages (from-to)	313-325
Number of pages	13
Journal	Journal of Mathematical Sciences
Volume	258
Issue number	3
DOIs	https://doi.org/10.1007/s10958-021-05549-2
State	Published - 1 Oct 2021

Keywords

Quasiconformal mappings
Sobolev spaces

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics
Applied Mathematics

Access to Document

10.1007/s10958-021-05549-2

Cite this

@article{353c9ff514a944499c82af11371212d8,

title = "Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings",

abstract = "In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators from Hardy–Sobolev spaces to Sobolev spaces.",

keywords = "Quasiconformal mappings, Sobolev spaces",

author = "Alexander Menovschikov and Alexander Ukhlov",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

month = oct,

day = "1",

doi = "10.1007/s10958-021-05549-2",

language = "American English",

volume = "258",

pages = "313--325",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "3",

}

TY - JOUR

T1 - Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

AU - Menovschikov, Alexander

AU - Ukhlov, Alexander

PY - 2021/10/1

Y1 - 2021/10/1

N2 - In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators from Hardy–Sobolev spaces to Sobolev spaces.

AB - In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators from Hardy–Sobolev spaces to Sobolev spaces.

KW - Quasiconformal mappings

KW - Sobolev spaces

UR - http://www.scopus.com/inward/record.url?scp=85116285570&partnerID=8YFLogxK

U2 - 10.1007/s10958-021-05549-2

DO - 10.1007/s10958-021-05549-2

M3 - Article

SN - 1072-3374

VL - 258

SP - 313

EP - 325

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 3

ER -

Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this