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A sharp estimate for extremal functions
Author(s):
Kehe
Zhu
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2577-2583.
MSC (1991):
Primary 30C40, 46E22, 47A45
Posted:
February 29, 2000
MathSciNet review:
1662242
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Abstract:
We prove a sharp pointwise estimate for extremal functions of invariant subspaces of some weighted Bergman spaces on the unit disk. The allowed weights include standard radial weights and logarithmically subharmonic weights.
References:
- 1.
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- H. Hedenmalm, A factorization theorem for square area-integrable functions, J. Reine Angew. Math. 442 (1991), 45-68. MR 93c:30053
- 6.
- H. Hedenmalm, An off-diagonal estimate of Bergman kernels, preprint, 1998.
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- H. Hedenmalm, B. Korenblum, and K. Zhu, Theory of Bergman Spaces, Springer-Verlag, New York, to appear.
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- 9.
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 functions, Proc. Amer. Math. Soc. 123 (1993), 753-756. MR 93d:46042 - 11.
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Additional Information:
Kehe
Zhu
Affiliation:
Department of Mathematics, State University of New York, Albany, New York 12222
Email:
kzhu@math.albany.edu
DOI:
10.1090/S0002-9939-00-05319-3
PII:
S 0002-9939(00)05319-3
Received by editor(s):
July 20, 1998
Received by editor(s) in revised form:
October 7, 1998
Posted:
February 29, 2000
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
2000,
American Mathematical Society
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