Abstract and Applied Analysis
Volume 2008 (2008), Article ID 196498, 12 pages
doi: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 uCφ acting between different Hardy spaces of the unit ball in ℂN. Also we will discuss a compact multiplication operator between Hardy spaces.