Year: 2016
Author: Xiaogao Feng, Shengjin Huo
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 42–49
Abstract
In this note, for $k$-quasiconformal mappings of a bounded domain into the complex plane, we give an upper bound of Burkholder integral. Moreover, as an application we obtain an upper bound of the $L^p$-integral of $\sqrt{J_f}$ and $|Df|$ for certain $K$-quasiconformal mappings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v49n1.16.05
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 42–49
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Quasiconformal mapping Burkholder function Morrey's problem.