WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE

Title & Authors
WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE
Ye, Shanli;

Abstract
We characterize the boundedness and compactness of the weighted composition operator $\small{uC_{\psi}}$ from the general function space F(p, q, s) into the logarithmic Bloch space $\small{{\beta}_L}$ on the unit disk. Some necessary and sufficient conditions are given for which $\small{uC_{\psi}}$ is a bounded or a compact operator from F(p,q,s), $\small{F_0}$(p,q,s) into $\small{{\beta}_L}$, $\small{{\beta}_L^0}$ respectively.
Keywords
weighted composition operator; F(p, q, s) space;logarithmic Bloch space;
Language
English
Cited by
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