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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Farroni, Fernando²  Giova, Raffaella¹ 

[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

关键词: Quasiconformal mappings;    Functions of bounded mean oscillation;    Exponentially integrable functions;    Composition operator;    Distance functional;    Sharp constants;   

DOI  :  10.1016/j.jmaa.2012.05.057

来源: Elsevier

【 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.

【 授权许可】

Free