Quasiconformal mappings and sharp estimates for the distance to L∞ in some function spaces

被引：13
|
作者：
Farroni, Fernando [2 ]
Giova, Raffaella [1 ]
机构：
[1] Univ Napoli Parthenope, Dipartimento Stat & Matemat Ric Econ, Via Medina 40, I-80133 Naples, Italy
[2] Univ Naples Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, I-80126 Naples, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 02期
关键词：
Quasiconformal mappings; Functions of bounded mean oscillation; Exponentially integrable functions; Composition operator; Distance functional; Sharp constants; WEIGHTED NORM INEQUALITIES; HOMEOMORPHISMS; DISTORTION;
D O I：
10.1016/j.jmaa.2012.05.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide several estimates which involve the distance to L-infinity in some function spaces, the composition operator induced by a quasiconformal mapping and the logarithm of the Jacobian of a quasiconformal mapping. Our results are sharp in the two dimensional case. (C) 2012 Elsevier Inc. All rights reserved.
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页码：694 / 704
页数：11
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