On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Vladimir Gol’dshtein; Alexander Ukhlov

doi:10.1007/s10958-020-04719-y

On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Vladimir Gol’dshtein, Alexander Ukhlov

Department of Mathematics

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

1 Scopus citations

Abstract

We study the functional properties of weak (p, q)-quasiconformal homeomorphisms such as Liouville-type theorems, the global integrability, and the Hölder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.

Original language	English
Pages (from-to)	18-29
Number of pages	12
Journal	Journal of Mathematical Sciences
Volume	246
Issue number	1
DOIs	https://doi.org/10.1007/s10958-020-04719-y
State	Published - 1 Apr 2020

Keywords

Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
Mathematics (all)
Applied Mathematics

Access to Document

10.1007/s10958-020-04719-y

Cite this

@article{ab310c65f75c40f09a7d382c6dc239b2,

title = "On the functional properties of weak (p, q)-quasiconformal homeomorphisms",

abstract = "We study the functional properties of weak (p, q)-quasiconformal homeomorphisms such as Liouville-type theorems, the global integrability, and the H{\"o}lder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.",

keywords = "Quasiconformal mappings, Sobolev spaces",

author = "Vladimir Gol{\textquoteright}dshtein and Alexander Ukhlov",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2020",

month = apr,

day = "1",

doi = "10.1007/s10958-020-04719-y",

language = "English",

volume = "246",

pages = "18--29",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

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

number = "1",

}

TY - JOUR

T1 - On the functional properties of weak (p, q)-quasiconformal homeomorphisms

AU - Gol’dshtein, Vladimir

AU - Ukhlov, Alexander

PY - 2020/4/1

Y1 - 2020/4/1

N2 - We study the functional properties of weak (p, q)-quasiconformal homeomorphisms such as Liouville-type theorems, the global integrability, and the Hölder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.

AB - We study the functional properties of weak (p, q)-quasiconformal homeomorphisms such as Liouville-type theorems, the global integrability, and the Hölder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.

KW - Quasiconformal mappings

KW - Sobolev spaces

UR - http://www.scopus.com/inward/record.url?scp=85081417589&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04719-y

DO - 10.1007/s10958-020-04719-y

M3 - Article

AN - SCOPUS:85081417589

SN - 1072-3374

VL - 246

SP - 18

EP - 29

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 1

ER -

On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this