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학술저널

BOUNDEDNESS AND COMPACTNESS OF SOME TOEPLITZ OPERATORS

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We consider the problem to determine when a Toeplitz operator is bounded on weighted Bergman spaces. We introduce some set CG of symbols and we prove that Toeplitz operators induced by elements of CG are bounded and characterize when Toeplitz operators are compact and show that each element of CG is related with a Carleson measure.

1. Introduction

2. Some linear operators

3. Some operators

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