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

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  • Yufeng Lu
  • Jun Yang

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.

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Handle: RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:538573
DOI: 10.1155/2008/538573
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