Abstract and Applied Analysis
Volume 2008 (2008), Article ID 196498, 12 pages
doi:10.1155/2008/196498
Compact weighted composition operators and multiplication operators between Hardy spaces
Sei-Ichiro Ueki1
and Luo Luo2
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
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.