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On a problem of Axler, Cuckovic and Rao
Author(s):
Guangfu
Cao
Journal:
Proc. Amer. Math. Soc.
136
(2008),
931-935.
MSC (2000):
Primary 47B35
Posted:
November 23, 2007
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Abstract:
In this note we show that if two Toeplitz operators on a Bergman space of the (Levi) pseudoconvex domain commute and the symbol of one of them is analytic and non-constant, then the other one is also analytic. This gives an affirmative answer of a problem of S. Axler, Z. Cuckovic and N. V. Rao (1999).
References:
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Additional Information:
Guangfu
Cao
Affiliation:
Department of Mathematics, Guangzhou University, Guangzhou 510006, People's Republic of China
Email:
guangfucao@163.com
DOI:
10.1090/S0002-9939-07-08987-3
PII:
S 0002-9939(07)08987-3
Keywords:
Toeplitz operator,
commutant of an operator
Received by editor(s):
August 17, 2006
Received by editor(s) in revised form:
October 31, 2006
Posted:
November 23, 2007
Additional Notes:
Supported by National Natural Science Foundation of China
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
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