The maximum principle for the Bergman space and the Möbius pseudodistance for the annulus
HTML articles powered by AMS MathViewer
- by Alexander Schuster PDF
- Proc. Amer. Math. Soc. 134 (2006), 3525-3530 Request permission
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.References
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
- Walter Kurt Hayman, On a conjecture of Korenblum, Analysis (Munich) 19 (1999), no. 2, 195–205. MR 1705360, DOI 10.1524/anly.1999.19.2.195
- A. Hinkkanen, On a maximum principle in Bergman space, J. Anal. Math. 79 (1999), 335–344. MR 1749317, DOI 10.1007/BF02788246
- Marek Jarnicki and Peter Pflug, Invariant distances and metrics in complex analysis, De Gruyter Expositions in Mathematics, vol. 9, Walter de Gruyter & Co., Berlin, 1993. MR 1242120, DOI 10.1515/9783110870312
- Boris Korenblum, A maximum principle for the Bergman space, Publ. Mat. 35 (1991), no. 2, 479–486. MR 1201570, DOI 10.5565/PUBLMAT_{3}5291_{1}2
- Chunjie Wang, Refining the constant in a maximum principle for the Bergman space, Proc. Amer. Math. Soc. 132 (2004), no. 3, 853–855. MR 2019965, DOI 10.1090/S0002-9939-03-07137-5
Additional Information
- Alexander Schuster
- Affiliation: Department of Mathematics, San Francisco State University, San Francisco, California 94132
- Email: schuster@sfsu.edu
- Received by editor(s): September 15, 2004
- Received by editor(s) in revised form: June 15, 2005
- Published electronically: May 31, 2006
- Communicated by: Juha M. Heinonen
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 3525-3530
- MSC (2000): Primary 30H05
- DOI: https://doi.org/10.1090/S0002-9939-06-08378-X
- MathSciNet review: 2240664