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Abstract
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Abstract and Applied Analysis
Volume 2008 (2008), Article ID 538573, 7 pages
doi:10.1155/2008/538573

A theorem of Nehari type on weighted Bergman spaces of the unit ball

Yufeng Lu and Jun Yang

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China

Abstract

This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα2 on the unit ball in ℂn such that STzi=Tz¯iS (i=1,…,n), where Tzi=zif and Tz¯i=P(z¯if); and where P is the weighted Bergman projection, then S must be a Hankel operator.