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Directional derivative estimates for Berezin's operator calculus
Author(s):
L.
A.
Coburn;
Bo
Li
Journal:
Proc. Amer. Math. Soc.
136
(2008),
641-649.
MSC (2000):
Primary 47B32;
Secondary 32A36
Posted:
November 2, 2007
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Abstract:
Directional derivative estimates for Berezin symbols of bounded operators on Bergman spaces of arbitrary bounded domains  in  are obtained. These estimates also hold in the setting of the Segal-Bargmann space on  . It is also shown that our estimates are sharp at every point of  by exhibiting the optimizers explicitly.
References:
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Additional Information:
L.
A.
Coburn
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260
Email:
lcoburn@buffalo.edu
Bo
Li
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260
Email:
boli@buffalo.edu
DOI:
10.1090/S0002-9939-07-09081-8
PII:
S 0002-9939(07)09081-8
Received by editor(s):
September 21, 2006
Received by editor(s) in revised form:
January 12, 2007
Posted:
November 2, 2007
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
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