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Weak slice conditions, product domains, and quasiconformal mappings Weak slice conditions, product domains, and quasiconformal mappings

Buckley, Stephen M. and Stanoyevitch, Alexander (2001) Weak slice conditions, product domains, and quasiconformal mappings Weak slice conditions, product domains, and quasiconformal mappings. Revista Matemática Iberoamericana, 17 (3). pp. 607-642. ISSN 0213-2230.

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Abstract

We investigate geometric conditions related to Hölder imbeddings, and show, among other things, that the only bounded Euclidean domains of the form U X V that are quasiconformally equivalent to inner uniform domains are inner uniform domains.

Keywords:Weak slice conditions; Product domains; Quasiconformal mappings; Hölder imbeddings; Bounded Euclidean domains
Subjects:Science & Engineering > Mathematics
ID Code:1602
Deposited By:Prof. Stephen Buckley
Deposited On:20 Oct 2009 12:51
Journal or Publication Title:Revista Matemática Iberoamericana
Publisher:Universidad Autonoma de Madrid, Departamento de Matematicas
Refereed:No
URL:http://web.uam.es/departamentos/ciencias/matematicas/ibero/irevista.htm

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