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Weighted estimates for diffeomorphic extensions of homeomorphisms

Year of publication

2020

Authors

Xu, Haiqing

Abstract

Let Ω⊂R2Ω⊂R2 be an internal chord-arc domain and φ:S1→∂Ωφ:S1→∂Ω be a homeomorphism. Then there is a diffeomorphic extension h:D→Ωh:D→Ω of φφ. We study the relationship between weighted integrability of the derivatives of hh and double integrals of φφ and of φ−1φ−1.
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Organizations and authors

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Volume

31

Issue

1

Pages

151-189

​Publication forum

66068

​Publication forum level

1

Open access

Open access in the publisher’s service

No

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object]

Publication country

Switzerland

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

No

DOI

10.4171/RLM/884

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes