Title of article :
Double Integral Characterization for Bergman Spaces
Author/Authors :
Hassanlou ، Mostafa Shahid Bakeri High Education Center of Miandoab - Urmia University , Vaezi ، Hamid Faculty of Mathematical Sciences - University of Tabriz
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)|/ (z,w) and |f(z) − f(w)|/beta(z,w), where 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.
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
