Beltrami Equation with Coefficient in Sobolev and Besov Spaces

被引：30

作者：

Cruz, Victor ^{[1
]}

Mateu, Joan ^{[2
]}

Orobitg, Joan ^{[2
]}

机构：

[1] Univ Tecnol Mixteca, Inst Fis & Matemat, Huajuapan De Leon 69000, Oaxaca, Mexico

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2013年 / 65卷 / 06期

关键词：

Beltrami equation; Calderón- Zygmund operators; Quasiregular mappings; Sobolev spaces;

D O I：

10.4153/CJM-2013-001-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our goal in this work is to present some function spaces on the complex plane C, X(C), for which the quasiregular solutions of the Beltrami equation, partial derivative f(z) = mu(z)partial derivative f(z), have first derivatives locally in X(C), provided that the Beltrami coefficient it belongs to X(C).

引用

页码：1217 / 1235

页数：19

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