On the Makarov law of the iterated logarithm
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- by Håkan Hedenmalm and Ilgiz Kayumov PDF
- Proc. Amer. Math. Soc. 135 (2007), 2235-2248 Request permission
Abstract:
We obtain considerable improvement of Makarov’s estimate of the boundary behavior of a general conformal mapping from the unit disk to a simply connected domain in the complex plane. We apply the result to improve Makarov’s comparison of harmonic measure with Hausdorff measure on simply connected domains.References
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Additional Information
- Håkan Hedenmalm
- Affiliation: Department of Mathematics, The Royal Institute of Technology, S – 100 44 Stockholm, Sweden
- Email: haakanh@math.kth.se
- Ilgiz Kayumov
- Affiliation: Institute of Mathematics and Mechanics, Kazan State University, 420008 Kazan, Russia
- Email: ikayumov@ksu.ru
- Received by editor(s): October 26, 2005
- Received by editor(s) in revised form: March 29, 2006
- Published electronically: February 6, 2007
- Additional Notes: Research supported by the Göran Gustafsson Foundation and by the Russian Fund of Basic Research (05-01-00523, 03-01-00015).
- 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), 2235-2248
- MSC (2000): Primary 35R35, 35Q35; Secondary 31A05, 31C12, 53B20, 76D27
- DOI: https://doi.org/10.1090/S0002-9939-07-08772-2
- MathSciNet review: 2299501