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A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball

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Indexed by:期刊论文

Date of Publication:2008-01-01

Journal:ABSTRACT AND APPLIED ANALYSIS

Included Journals:SCIE、Scopus

Volume:2008

ISSN No.:1085-3375

Abstract:This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces A(alpha)(2) on the unit ball in C-n such that STzi = T(z) over bartS (i = 1, ..., n), where T-zi = z(i)f and T-(z) over bart = P((z) over bar (i)f); and where P is the weighted Bergman projection, then S must be a Hankel operator. Copyright (c) 2008 Y. Lu and J. 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.

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