A Note on Burkholder Integrals

Authors

  • Xiaogao Feng College of Mathematics and Information, China West Normal University, Nanchong 637002, P.R. China
  • Shengjin Huo Department of Mathematics, Tianjin Polytechnic University, TianJin 300387, P.R. China

DOI:

https://doi.org/10.4208/jms.v49n1.16.05

Keywords:

Quasiconformal mapping, Burkholder function, Morrey's problem.

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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Published

2018-08-16

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Issue

Vol. 49 No. 1 (2016)

Section

Articles

How to Cite

A Note on Burkholder Integrals. (2018). Journal of Mathematical Study, 49(1), 42-49. https://doi.org/10.4208/jms.v49n1.16.05