New characterizations of the meromorphic Besov, QP and related classes

R. Aulaskari; S. Makhmutov; J. Rättyä

doi:10.1017/S0004972708000981

New characterizations of the meromorphic Besov, Q_P and related classes

R. Aulaskari^*, S. Makhmutov, J. Rättyä

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	49-58
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	79
Issue number	1
DOIs	https://doi.org/10.1017/S0004972708000981
Publication status	Published - Feb 2009

Keywords

Bergman class
Besov class
Qp-class
chordal distance
meromorphic function
normal function
spherical derivative

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1017/S0004972708000981

Cite this

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title = "New characterizations of the meromorphic Besov, QP and related classes",

abstract = "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 = "Bergman class, Besov class, Qp-class, chordal distance, meromorphic function, normal function, spherical derivative",

author = "R. Aulaskari and S. Makhmutov and J. R{\"a}tty{\"a}",

year = "2009",

month = feb,

doi = "10.1017/S0004972708000981",

language = "English",

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pages = "49--58",

journal = "Bulletin of the Australian Mathematical Society",

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T1 - New characterizations of the meromorphic Besov, QP and related classes

AU - Aulaskari, R.

AU - Makhmutov, S.

AU - Rättyä, J.

PY - 2009/2

Y1 - 2009/2

N2 - 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.

AB - 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.

KW - Bergman class

KW - Besov class

KW - Qp-class

KW - chordal distance

KW - meromorphic function

KW - normal function

KW - spherical derivative

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DO - 10.1017/S0004972708000981

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SP - 49

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JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

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