Toeplitz operators on Dirichlet spaces |
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| Authors: | Richard Rochberg Zhijian Wu |
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| Institution: | (1) Department of Mathematics, Washington University, 63130 St. Louis, MO;(2) Department of Mathematics, University of Alabama, 35487 Tuscaloosa, AL |
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| Abstract: | In this paper we consider Toeplitz operators on Dirichlet spaces of the unit disk in whose symbols are nonnegative measures. We obtain necessry and sufficient conditions on the symbols for the operator to be bounded and compact. If the symbols are supported in a cone we also get necessary and sufficient conditions for the operators to belong to the Schatten p-class. Application to the Hankel operators are indicated.This work supported in part by NSF grant DMS 8701271 |
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| Keywords: | 47B35 31A10 |
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