Weighted estimates for diffeomorphic extensions of homeomorphisms

DOI10.4171/RLM/884zbMath1454.46036arXiv1905.09330OpenAlexW3014990978WikidataQ109747048 ScholiaQ109747048MaRDI QIDQ2180290

Haiqing Xu

Publication date: 13 May 2020

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09330

zbMATH Keywords

diffeomorphismPoisson extensioninternal chord-arc domain

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (1)

Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains

Cites Work

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• \(L^p\)-integrability \& weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\)
• Factorization of \(A_p\) weights
• John disks
• Controlled diffeomorphic extension of homeomorphisms
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for the Hardy Maximal Function
• Extremal mappings of finite distortion

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