WEIGHTED BLOCH SPACES AND SOME OPERATORS INDUCED BY RADIAL DERIVATIVES

Title & Authors
WEIGHTED BLOCH SPACES AND SOME OPERATORS INDUCED BY RADIAL DERIVATIVES
Kang, Si-Ho;

Abstract
In the setting of the half-plane of the complex plane, we show that for $\small{r\geq0}$, the dual space of the weighted bergman spaces $\small{B^{1}{\gamma}}$ is the Bloch space of the half-plane and we study some bounded linear operators induced by radial derivatives.
Keywords
dual space;weighted Bergman space;modified Bergman kernels;half-plane;radial derivatives;Mobius transform;
Language
English
Cited by
References
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