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:: Volume 11, Number 1 (4-2016) ::
IJMSI 2016, 11(1): 27-34 Back to browse issues page
Double Integral Characterization for Bergman Spaces
M. Hassanlou , H. Vaezi
Abstract:  

‎In this paper we characterize Bergman spaces with‎ ‎respect to double integral of the functions $|f(z)‎ ‎-f(w)|/|z-w|$,‎ ‎$|f(z)‎ -‎f(w)|/rho(z,w)$ and $|f(z)‎ ‎-f(w)|/beta(z,w)$,‎ ‎where $rho$ and $beta$ are the pseudo-hyperbolic and hyperbolic metrics‎. ‎We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces‎.

Keywords: Bergman spaces, Pseudo-hyperbolic metric, Hyperbolic metric, Double integral.
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Type of Study: Research | Subject: Special
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DOI: 10.7508/ijmsi.2016.01.003


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Hassanlou M, Vaezi H. Double Integral Characterization for Bergman Spaces. IJMSI. 2016; 11 (1) :27-34
URL: http://ijmsi.ir/article-1-451-en.html
Volume 11, Number 1 (4-2016) Back to browse issues page
نشریه علوم ریاضی و انفورماتیک Iranian Journal of Mathematical Sciences and Informatics
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