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Distortion of the Grötzsch–Belinskii type for generalized quasiconformal mappings

Distortion of the Grötzsch–Belinskii type for generalized quasiconformal mappings Abstract The geometric properties of quasiconformal mappings and generalized quasiconformal mappings are studied. Inequalities of the Grötzsch–Belinskii type are established to estimate the distortion of p -moduli of ring domains for these classes of mappings. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Distortion of the Grötzsch–Belinskii type for generalized quasiconformal mappings

Georgian Mathematical Journal , Volume 17 (2) – Jun 1, 2010

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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2010.011
Publisher site
See Article on Publisher Site

Abstract

Abstract The geometric properties of quasiconformal mappings and generalized quasiconformal mappings are studied. Inequalities of the Grötzsch–Belinskii type are established to estimate the distortion of p -moduli of ring domains for these classes of mappings.

Journal

Georgian Mathematical Journalde Gruyter

Published: Jun 1, 2010

Keywords: Quasiconformal mappings; generalized quasiconformal mappings; modulus of ring domain; modulus of surface families

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