一类Burkholder积分的上界及其应用  

Upper Bound of A Class of Burkholder Integral and Its Application

作　　者：杨敏 张莉 YANG Min;ZHANG Li(School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637009,China;College of Mathematics Education,China West Normal University,Nanchong Sichuan 637009,China)

机构地区：[1]西华师范大学.数学与信息学院,四川南充637009 [2]西华师范大学公共数学学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2023年第1期42-46,共5页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金项目(11701459)。

摘　　要：对复平面有界区域上的k-拟共形映射,本文主要借助Iwaniec和Prause的经典方法,运用插值引理和面积定理给出了一类Burkholder积分的新上界。同时,运用该结果得到了k-拟共形映射下√J_(f)和|Df|的L^(p)-积分的上界。最终推广了陈行堤等关于此上界的结论,使得结果更加一般化。In terms of k-quasi-conformal mapping in the bonded domain of complex plane, this paper employs the interpolation lemma and the area theorem to give a new upper bound of a class of Burkholder integrals by the typical methods of Iwaniec and Prause.At the same time, the results are adopted to get the upper bound of the Lp-integral of √J_(f).Finally, the conclusions of Chen Xingdi and Qiantao on this upper bound are promoted and the results are generalized.

关 键 词：插值引理 面积定理 Burkholder积分 L^(P)-积分 

分 类 号：O174.5[理学—数学]