Double Integral Characterization for Bergman Spaces

Author(s):

M. Hassanlou , H. Vaezi

Abstract:
ýIn this paper we characterize Bergman spaces withý ýrespect to double integral of the functions $|f(z)ý ý-f(w)|/|z-w|$,ý ý$|f(z)ý -ýf(w)|/rho(z,w)$ and $|f(z)ý ý-f(w)|/beta(z,w)$,ý ýwhere $rho$ and $beta$ are the pseudo-hyperbolic and hyperbolic metricsý. ýWe prove some necessary and sufficient conditions that implies a function to be in Bergman spacesý.
Keywords:

Bergman spaces , Pseudo , hyperbolic metric , Hyperbolic metric , Double integral

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:11 Issue: 1, May 2016
Pages:
27 to 34
https://www.magiran.com/p1527389