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Abstract and Applied Analysis
Volume 2008, Article ID 196498, 12 pages
http://dx.doi.org/10.1155/2008/196498
Research Article

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

1Department of Mathematics, Faculty of Science Division II, Tokyo University of Science, 4-6-1 Higashicho, Hitachi, Ibaraki 317-0061, Japan
2Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received 27 August 2007; Accepted 10 February 2008

Academic Editor: Stephen Clark

Copyright © 2008 Sei-Ichiro Ueki and Luo Luo. 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

We estimate the essential norm of a compact weighted composition operator 𝑒 𝐢 πœ‘ acting between different Hardy spaces of the unit ball in β„‚ 𝑁 . Also we will discuss a compact multiplication operator between Hardy spaces.