Sobolev Extension on L p-quasidisks

Zheng Zhu

doi:10.1007/s11118-021-09948-7

Sobolev Extension on L ^p-quasidisks

Zheng Zhu^*

^*Corresponding author for this work

University of Jyväskylä

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

Abstract

In this paper, we study the Sobolev extension property of L^p-quasidisks which are the generalizations of classical quasidisks. After that, we also find some applications of this property.

Original language	English
Pages (from-to)	529-544
Number of pages	16
Journal	Potential Analysis
Volume	58
Issue number	3
DOIs	https://doi.org/10.1007/s11118-021-09948-7
State	Published - Mar 2023
Externally published	Yes

Keywords

Homeomorphism of finite distortion
L-quasidisks
Sobolev extension domains

Access to Document

10.1007/s11118-021-09948-7

Cite this

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title = "Sobolev Extension on L p-quasidisks",

abstract = "In this paper, we study the Sobolev extension property of Lp-quasidisks which are the generalizations of classical quasidisks. After that, we also find some applications of this property.",

keywords = "Homeomorphism of finite distortion, L-quasidisks, Sobolev extension domains",

author = "Zheng Zhu",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2023",

month = mar,

doi = "10.1007/s11118-021-09948-7",

language = "英语",

volume = "58",

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journal = "Potential Analysis",

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AB - In this paper, we study the Sobolev extension property of Lp-quasidisks which are the generalizations of classical quasidisks. After that, we also find some applications of this property.

KW - Homeomorphism of finite distortion

KW - L-quasidisks

KW - Sobolev extension domains

UR - https://www.scopus.com/pages/publications/85114699460

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DO - 10.1007/s11118-021-09948-7

M3 - 文章

AN - SCOPUS:85114699460

SN - 0926-2601

VL - 58

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EP - 544

JO - Potential Analysis

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IS - 3