Abstract and Applied Analysis
Volume 2011 (2011), Article ID 939873, 13 pages
http://dx.doi.org/10.1155/2011/939873
Research Article

Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball

Pablo Galindo,1 Mikael Lindström,2 and Stevo Stevic3

1Departamento de Análisis Matemático, Universidad de Valencia, 46.100 Burjasot, Valencia, Spain
2Department of Mathematical Sciences, University of Oulu, 90014 Oulu, Finland
3Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia

Received 13 December 2010; Revised 8 May 2011; Accepted 10 May 2011

Academic Editor: Nikolaos Papageorgiou

Copyright © 2011 Pablo Galindo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The essential norm of any operator from a general Banach space of holomorphic functions on the unit ball in ℂ 𝑛 into the little weighted-type space is calculated. Some applications of the formula are given.