Equivalence problem for annuli and Bell representations in the plane

In this paper we solve the problem of equivalence between annuli and Bell representations, which are canonical planar domains of connectivity 2. We give a necessary and sufficient condition for equivalence as an explicit formula in parameters of the domains.

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Podrobná bibliografie
Vydáno v:	Journal of mathematical analysis and applications Ročník 325; číslo 2; s. 1295 - 1305
Hlavní autoři:	Jeong, Moonja, Oh, Jong-Won, Taniguchi, Masahiko
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	San Diego, CA Elsevier Inc 15.01.2007 Elsevier
Témata:	Ahlfors map Annulus Bell representation Critical points Exact sciences and technology Functions of a complex variable Lambert series Mathematical analysis Mathematics Sciences and techniques of general use Several complex variables and analytic spaces Teichmüller extremal domain Theta constants Teichmüller extremal domain Ahlfors map Bell representation Critical points Annulus Lambert series Theta constants Mathematical analysis Necessary and sufficient condition Teichmller extremal domain Critical point
ISSN:	0022-247X, 1096-0813
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Popis
Shrnutí:	In this paper we solve the problem of equivalence between annuli and Bell representations, which are canonical planar domains of connectivity 2. We give a necessary and sufficient condition for equivalence as an explicit formula in parameters of the domains.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2006.02.001