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Strongly Quasiconformal Extension of Harmonic Mappings

Strongly Quasiconformal Extension of Harmonic Mappings In terms of pre-Schwarzian and Schwarzian derivatives, we obtain some sufficient conditions to ensure that a sense-preserving locally univalent harmonic mapping f in the unit disk can be extended to a quasiconformal mapping in the complex plane so that its complex dilatation satisfies some Carleson measure conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Strongly Quasiconformal Extension of Harmonic Mappings

Computational Methods and Function Theory , Volume 21 (2) – Jul 15, 2020

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References (22)

Publisher
Springer Journals
Copyright
Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2020
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-020-00326-9
Publisher site
See Article on Publisher Site

Abstract

In terms of pre-Schwarzian and Schwarzian derivatives, we obtain some sufficient conditions to ensure that a sense-preserving locally univalent harmonic mapping f in the unit disk can be extended to a quasiconformal mapping in the complex plane so that its complex dilatation satisfies some Carleson measure conditions.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jul 15, 2020

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