A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Robin functions and distortion theorems for regular mappings
Tekijät: Dubinin V, Vuorinen M
Julkaisuvuosi: 2010
Journal: Mathematical News / Mathematische Nachrichten
Tietokannassa oleva lehden nimi: Mathematische Nachrichten
Numero sarjassa: 11
Vuosikerta: 283
Numero: 11
Aloitussivu: 1589
Lopetussivu: 1602
Sivujen määrä: 14
ISSN: 0025-584X
DOI: https://doi.org/10.1002/mana.200710143
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:77958609710
Tiivistelmä
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robin capacity with respect to the domain of definition of the mapping and subsets of the boundary of this domain. The behavior of Robin function under multivalent functions is studied. Some corollaries and examples of applications to distortion theorems for regular functions are given. © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robin capacity with respect to the domain of definition of the mapping and subsets of the boundary of this domain. The behavior of Robin function under multivalent functions is studied. Some corollaries and examples of applications to distortion theorems for regular functions are given. © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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