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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 389, Pages 252–256 (Mi znsl4128)  
Keldysh–Lavrentiev counterexample and means of powers of conformal mapping. 1. Construction of a mapping

H. Hedenmalma, N. A. Shirokovb

a Department of Mathematics, The Royal Institute of Technology, Stockholm, Sweden
b Saint-Petersburg State University, Saint-Petersburg, Russia
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Abstract: 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 unit disk onto this region from below. We use here some ideas taken from a construction of a famous Keldysh–Lavrentiev example.
Key words and phrases: conformal mapping, Keldysh–Lavrentiev example.
Received: 01.06.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 5, Pages 724–726
DOI: https://doi.org/10.1007/s10958-012-0776-5
Bibliographic databases:
Document Type: Article
UDC: 517.547
Language: Russian
Citation: H. Hedenmalm, N. A. Shirokov, “Keldysh–Lavrentiev counterexample and means of powers of conformal mapping. 1. Construction of a mapping”, Investigations on linear operators and function theory. Part 39, Zap. Nauchn. Sem. POMI, 389, POMI, St. Petersburg, 2011, 252–256; J. Math. Sci. (N. Y.), 182:5 (2012), 724–726
Citation in format AMSBIB
\Bibitem{HedShi11}
\by H.~Hedenmalm, N.~A.~Shirokov
\paper Keldysh--Lavrentiev counterexample and means of powers of conformal mapping. 1.~Construction of a~mapping
\inbook Investigations on linear operators and function theory. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 389
\pages 252--256
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4128}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 5
\pages 724--726
\crossref{https://doi.org/10.1007/s10958-012-0776-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860367420}
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