On the universal integral means spectrum of conformal mappings near the origin
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- by Håkan Hedenmalm and Serguei Shimorin PDF
- Proc. Amer. Math. Soc. 135 (2007), 2249-2255 Request permission
Abstract:
We improve the local estimate near the origin of the integral means spectrum for conformal mappings obtained in our paper from 2005. We also study some algebraic aspects of higher order forms associated with the given conformal mapping.References
- H. Hedenmalm, I. Kayumov, On Makarov’s law of the iterated logarithm, Proc. Amer. Math. Soc., to appear.
- Håkan Hedenmalm and Serguei Shimorin, Weighted Bergman spaces and the integral means spectrum of conformal mappings, Duke Math. J. 127 (2005), no. 2, 341–393. MR 2130416, DOI 10.1215/S0012-7094-04-12725-3
- Ch. Pommerenke, Boundary behaviour of conformal maps, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 299, Springer-Verlag, Berlin, 1992. MR 1217706, DOI 10.1007/978-3-662-02770-7
Additional Information
- Håkan Hedenmalm
- Affiliation: Department of Mathematics, Royal Institute of Technology, S–100 44 Stockholm, Sweden
- Email: haakanh@math.kth.se
- Serguei Shimorin
- Affiliation: Department of Mathematics, Royal Institute of Technology, S–100 44 Stockholm, Sweden
- Email: shimorin@math.kth.se
- Received by editor(s): November 2, 2005
- Received by editor(s) in revised form: March 29, 2006
- Published electronically: February 2, 2007
- Additional Notes: The first author’s research was supported by the Göran Gustafsson Foundation
- Communicated by: Juha M. Heinonen
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2249-2255
- MSC (2000): Primary 30C40; Secondary 30C85, 32A25, 32A36, 46E22
- DOI: https://doi.org/10.1090/S0002-9939-07-08737-0
- MathSciNet review: 2299502