%0 Journal Article %A Hassanlou, M. %A Vaezi, H. %T Double Integral Characterization for Bergman Spaces %J Iranian Journal of Mathematical Sciences and Informatics %V 11 %N 1 %U http://ijmsi.ir/article-1-451-en.html %R 10.7508/ijmsi.2016.01.003 %D 2016 %K Bergman spaces, Pseudo-hyperbolic metric, Hyperbolic metric, Double integral., %X ‎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. %> http://ijmsi.ir/article-1-451-en.pdf %P 27-34 %& 27 %! %9 Research paper %L A-10-167-1 %+ University of Tabriz‎ %G eng %@ 1735-4463 %[ 2016