دوره 11، شماره 1 - ( 1-1395 )
جلد 11 شماره 1 صفحات 34-27 |
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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-fa.html
URL: http://ijmsi.ir/article-1-451-fa.html
Double Integral Characterization for Bergman Spaces. مجله علوم ریاضی و انفورماتیک. 1395; 11 (1) :27-34
چکیده:
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.
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