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On the Makarov law of the iterated logarithm
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-4971-7147
2007 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 135, no 7, 2235-2248 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 135, no 7, 2235-2248 p.
Keyword [en]
conformal mapping, law of the iterated logarithm, integral means spectrum, conformal-mappings, distortion, sets
Identifiers
URN: urn:nbn:se:kth:diva-16481ISI: 000245149700036Scopus ID: 2-s2.0-50849122478OAI: oai:DiVA.org:kth-16481DiVA: diva2:334523
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Hedenmalm, Håkan

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