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

Yufeng Lu and Jun Yang

Abstract and Applied Analysis, 2008, vol. 2008, issue 1

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.

Date: 2008
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https://doi.org/10.1155/2008/538573

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:538573

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