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On the Makarov law of the iterated logarithm |
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| Authors: | Hå kan Hedenmalm Ilgiz Kayumov |
| Affiliation: | Department of Mathematics, The Royal Institute of Technology, S -- 100 44 Stockholm, Sweden ; Institute of Mathematics and Mechanics, Kazan State University, 420008 Kazan, Russia |
| 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. |
| Keywords: | Conformal mapping law of the iterated logarithm |
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