A Note on Burkholder Integrals

被引：0

作者：

Feng, Xiaogao ^{[1
,2
]}

Huo, Shengjin ^{[3
]}

机构：

[1] China West Normal Univ, Coll Math & Informat, Nanchong 637002, Peoples R China

[2] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

[3] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2016年 / 49卷 / 01期

关键词：

Quasiconformal mapping; Burkholder function; Morrey's problem;

D O I：

10.4208/jms.v49n1.16.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 root J(f) and vertical bar Df vertical bar for certain K-quasiconformal mappings.

引用

页码：42 / 49

页数：8

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