A sharp estimate for extremal functions

Author:
Kehe Zhu

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2577-2583

MSC (1991):
Primary 30C40, 46E22, 47A45

DOI:
https://doi.org/10.1090/S0002-9939-00-05319-3

Published electronically:
February 29, 2000

MathSciNet review:
1662242

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Abstract | References | Similar Articles | Additional Information

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.

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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:
https://doi.org/10.1090/S0002-9939-00-05319-3

Received by editor(s):
July 20, 1998

Received by editor(s) in revised form:
October 7, 1998

Published electronically:
February 29, 2000

Communicated by:
Albert Baernstein II

Article copyright:
© Copyright 2000
American Mathematical Society