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Keldysh-Lavrentiev counterexample and means of powers of a conformal mapping. 1. construction of a mapping
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-4971-7147
2012 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 182, no 5, 724-726 p.Article in journal (Refereed) Published
Abstract [en]

We construct a region with infinitely many cusps on its boundary such that it is possible to estimate the derivative of a conformal mapping of the units disk onto this region from below. We use some ideas taken from the construction of a famous Keldysh-Lavrentiev example. Bibliography: 2 titles.

Place, publisher, year, edition, pages
2012. Vol. 182, no 5, 724-726 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-98525DOI: 10.1007/s10958-012-0776-5Scopus ID: 2-s2.0-84860367420OAI: oai:DiVA.org:kth-98525DiVA: diva2:537915
Note
QC 20120628Available from: 2012-06-28 Created: 2012-06-27 Last updated: 2017-12-07Bibliographically approved

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Hedenmalm, Håkan

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