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The maximum principle for the Bergman space and the Möbius pseudodistance for the annulus

Author(s): Alexander Schuster
Journal: Proc. Amer. Math. Soc. 134 (2006), 3525-3530.
MSC (2000): Primary 30H05
Posted: May 31, 2006
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Abstract: It is shown that the formula for the Möbius pseudodistance for the annulus yields better estimates than previously known for the constant in the Bergman space maximum principle.

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M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter Expositions in Mathematics, 9, Walter de Gruyter & Co., Berlin, 1993.MR 1242120 (94k:32039)

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B. Korenblum, A maximum principle for the Bergman space, Publ. Mat. 35 (1991), 479-486.MR 1201570 (93j:30018)

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C. Wang, Refining the constant in a maximum principle for the Bergman space, Proc. Amer. Math. Soc. 132 (2003), 853-855. MR 2019965 (2004i:30017)

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Additional Information:

Alexander Schuster
Affiliation: Department of Mathematics, San Francisco State University, San Francisco, California 94132
Email: schuster@sfsu.edu

DOI: 10.1090/S0002-9939-06-08378-X
PII: S 0002-9939(06)08378-X
Keywords: Bergman space, Fock space, maximum principle
Received by editor(s): September 15, 2004
Received by editor(s) in revised form: June 15, 2005
Posted: May 31, 2006
Communicated by: Juha M. Heinonen
Copyright of article: Copyright 2006, American Mathematical Society

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