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Wiman and Arima theorems for quasiregular mappings




TekijätVuorinen Matti, Martio O, Miklyukov V

Julkaisuvuosi2010

JournalJournal of Inequalities and Applications

Tietokannassa oleva lehden nimiJournal of Inequalities and Applications

Numero sarjassanull

Vuosikerta2010

Numeronull

Sivujen määrä29

ISSN1025-5834

DOIhttps://doi.org/10.1155/2010/604217

Verkko-osoitehttp://api.elsevier.com/content/abstract/scopus_id:77953508428


Tiivistelmä
Wiman's theorem says that an entire holomorphic function of order less than 1/2 has a minimum modulus converging to ∞ along a sequence. Arima's theorem is a refinement of Wiman's theorem. Here we generalize both results to quasiregular mappings in the manifold setup. The so called fundamental frequency has an important role in this study. Copyright © 2010 O. Martio et al.



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