Boundary behavior of \(\mu\)-homeomorphisms
type: Item
instance of: scholarly article
title: Boundary behavior of \(\mu\)-homeomorphisms
zbMATH Open document ID: 1067.30040
DOI: 10.1007/BF02772222
author: U Srebro
author: E. Yakubov
published in: Israel Journal of Mathematics
publication date: 2004-11-11T00:00:00Z
review text: Let \(f\) be a sense preserving homeomorphism of the upper half plane \(H\) into \({\mathbb C}\) satisfying the Beltrami equation \(f_{\overline z} = \mu (z)f_z\) with \(| \mu| _{\infty} < 1\) in every compact subset of \(H\). The authors present conditions such that \(f(H) \neq C\) and \(f\) has a homeomorphic extension to \(\overline H\). The conditions involving regularity of \(| \mu| \) and \(\text{ arg}\;\mu\) have a local character and they are different from the BMO--type conditions for \(\mu\), see [\textit{G. David}, Ann. Acad. Sci. Fenn., Ser. A I Math. 13, No. 1, 25--70 (1983; Zbl 0619.30024)].
Mathematics Subject Classification ID: 30C62
zbMATH DE Number: 2114652
zbMATH Keywords: boundary behavior
reviewed by: O. Martio
MaRDI profile type: Publication
cites work: Q5512337
cites work: Solutions de l'equation de Beltrami avec ||\mu||_\infty = 1
cites work: Q5570370
cites work: Q5685358
cites work: BMO-quasiconformal mappings
cites work: Q4362873
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description: scientific article; zbMATH DE number 2114652