Optimal extensions of conformal mappings from the unit disk to cardioid-type domains

DOI10.1007/s12220-019-00340-xzbMath1462.30017arXiv1905.09351OpenAlexW2997999524WikidataQ109744302 ScholiaQ109744302MaRDI QIDQ2659500

Haiqing Xu

Publication date: 26 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09351

zbMATH Keywords

conformal mappingscardiod-type domainsextension to a homeomorphism of finite distortion

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

Generalized quasidisks and conformality: progress and challenges ⋮ Singularities in L^p-quasidisks ⋮ Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains

Cites Work

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• Lectures on mappings of finite distortion
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• Mappings of finite distortion: formation of cusps
• Regularity of the inverse of a planar Sobolev homeomorphism
• Chord-arc curves and the Beurling transform
• Quasiconformal Mappings and Chord-Arc Curves
• Weakly Differentiable Functions
• The planar Schönflies theorem for Lipschitz maps
• Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
• Generalized quasidisks and conformality II

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