Weighted estimates for diffeomorphic extensions of homeomorphisms
Xu, H. (2020). Weighted estimates for diffeomorphic extensions of homeomorphisms. Rendiconti Lincei: Matematica e Applicazioni, 31(1), 151-189. https://doi.org/10.4171/RLM/884
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Rendiconti Lincei: Matematica e ApplicazioniAuthors
Date
2020Copyright
© 2021 EMS Publishing House
2021:78 | 2022:37 | 2023:62 | 2024:854 | 2025:4
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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European Mathematical Society Publishing HouseISSN Search the Publication Forum
1120-6330Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/35176553
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Additional information about funding
The author has been supported by China Scholarship Council (project No. 201706340060).License
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