TY - JOUR JF - IJMSI JO - IJMSI VL - 11 IS - 1 PY - 2016 Y1 - 2016/4/01 TI - Double Integral Characterization for Bergman Spaces TT - N2 - ‎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. SP - 27 EP - 34 AU - Hassanlou, M. AU - Vaezi, H. AD - University of Tabriz‎ KW - Bergman spaces KW - Pseudo-hyperbolic metric KW - Hyperbolic metric KW - Double integral. UR - http://ijmsi.ir/article-1-451-en.html DO - 10.7508/ijmsi.2016.01.003 ER -