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NEW CHARACTERIZATIONS OF THE MEROMORPHIC BESOV, Qp AND RELATED CLASSES

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 February 2009

R. AULASKARI ,
S. MAKHMUTOV  and
J. RÄTTYÄ
R. AULASKARI*
Affiliation:
Department of Physics and Mathematics, University of Joensuu, PO Box 111, 80101 Joensuu, Finland (email: [email protected])
S. MAKHMUTOV
Affiliation:
Department of Mathematics and Statistics, Sultan Qaboos University, PO Box 36, Al Khodh 123, Oman Institute of Mathematics, Ufa, 450077, Russia (email: [email protected])
J. RÄTTYÄ
Affiliation:
Department of Physics and Mathematics, University of Joensuu, PO Box 111, 80101 Joensuu, Finland (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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Functions in the meromorphic Besov, Qp and related classes are characterized in terms of double integrals of certain oscillation quantities involving chordal distances. Some of the results are analogous to the corresponding results in the analytic case.

Keywords

meromorphic functionchordal distancespherical derivativenormal functionQp-classBesov classBergman class

MSC classification

Secondary: 30D45: Bloch functions, normal functions, normal families
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 49 - 58
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

This research was supported in part by the Academy of Finland 121281, IG/SCI/DOMS/07/01, the MEC-Spain MTM2005-07347, and the Spanish Thematic Network MTM2006-26627-E.

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