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

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We characterize the boundedness and compactness of the weighted composition operator uCp from the general function space F(p, q, s) into the logarithmic Bloch space βL on the unit disk. Some necessary and sufficient conditions are given for which uCp is a bounded or a compact operator from F(p, q, s), F0(p, q, s) into βL, β0L respectively.

Abstract

We characterize the boundedness and compactness of the weighted composition operator uCp from the general function space F(p, q, s) into the logarithmic Bloch space βL on the unit disk. Some necessary and sufficient conditions are given for which uCp is a bounded or a compact operator from F(p, q, s), F0(p, q, s) into βL, β0L respectively.

참고문헌 (13)

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