Abstract and Applied Analysis
Volume 2008 (2008), Article ID 538573, 7 pages
A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
Received 13 June 2008; Revised 12 October 2008; Accepted 20 November 2008
Academic Editor: Stevo Stevic
Copyright © 2008 Yufeng Lu and Jun Yang. 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.
This paper shows that if is a bounded linear operator acting on
the weighted Bergman spaces on the unit ball in such that , where and
; and where is the weighted Bergman projection, then must be a Hankel operator.