ON A POSITIVE SUBHARMONIC BERGMAN FUNCTION

Title & Authors
ON A POSITIVE SUBHARMONIC BERGMAN FUNCTION
Kim, Jung-Ok; Kwon, Ern-Gun;

Abstract
A holomorphic function F defined on the unit disc belongs to $\small{A^{p,{\alpha}}}$ (0 < p < $\small{\infty}$, 1 < $\small{{\alpha}}$ < $\small{\infty}$) if $\small{\int\limits_U|F(z)|^p \frac{1}{1-|z|}(1+log)\frac{1}{1-|z|})^{-\alpha}}$ dxdy < $\small{\infty}$. For boundedness of the composition operator defined by $C_{fg} Keywords composition operator;Bloch space;weighted Bergman space; Language English Cited by References 1. P. L. Duren, Theory of$H^p\$ spaces, Academic Press, New York, 1970.

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