Lp-INTEGRABILITY & WEAK TYPE L2-ESTIMATES FOR THE GRADIENT OF HARMONIC MAPPINGS OF D

被引：14

作者：

Iwaniec, Tadeusz ^{[1
]}

Martin, Gaven ^{[2
]}

Sbordone, Carlo ^{[3
]}

机构：

[1] Syracuse Univ, Syracuse, NY 10065 USA

[2] Massey Univ, Auckland, New Zealand

[3] Univ Naples Federico 2, Naples, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 01期

关键词：

Harmonic mapping; weak type estimates; mean distortion;

D O I：

10.3934/dcdsb.2009.11.145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an elementary proof for the integrability properties of the gradient of the harmonic extension of a self homeomorphism of the circle giving explicit bounds for the p-norms, p < 2, estimates in Orlicz classes and also an L-2(D)-weak type estimate

引用

页码：145 / 152

页数：8

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