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A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF ℂn

Published online by Cambridge University Press:  01 May 2009

SONGXIAO LI ,
HASI WULAN ,
RUHAN ZHAO  and
KEHE ZHU
SONGXIAO LI
Affiliation:
Department of Mathematics, Jiaying University, Guangdong, China e-mail: lsx@mail.zjxu.edu.cn
HASI WULAN
Affiliation:
Department of Mathematics, shantou university, Guangdong, China e-mail: wulan@stu.edu.cn
RUHAN ZHAO
Affiliation:
Department of Mathematics, SUNY, Brockport, NY 14420, USA e-mail: rzhao@brockport.edu
KEHE ZHU
Affiliation:
Department of Mathematics, SUNY, Albany, NY 12222, USA e-mail: kzhu@math.albany.edu
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Abstract

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We obtain a new characterisation for weighted Bergman spaces Apα on the unit ball n of ℂn in terms of a double integral of the functions |f(z) − f(w)|/|z − w| and |f(z) − f(w)|/|1 − 〈 z, w〉|.

Keywords

32A36
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 2 , May 2009 , pp. 315 - 330
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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