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Akaki Tikaradze
Multiplication operators on the Bergman spaces of pseudoconvex domains view print
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| Published: |
December 16, 2015 |
| Keywords: |
Bergman spaces, pseudoconvex domains, multiplication operators |
| Subject: |
Primary 32A36; Secondary 47B35 |
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Abstract
Let Ω⊂ Cn be a bounded smooth pseudoconvex domain,
and let f=(f1,..., fn):\overline{Ω}⊂Cn be
an n-tuple of holomorphic functions on \overline{Ω}. In this paper we study
commutants of the corresponding multiplication operators {Tf1, ..., Tfn}=Tf on the
Bergman space A2(Ω).
One of our main results is a geometric description of the algebra of commutants of {Tf, Tf*},
generalizing a result by Douglas, Sun and Zheng, 2011.
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| Author information
University of Toledo, Department of Mathematics & Statistics, Toledo, OH 43606, USA
tikar06@gmail.com
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