A Lipschitz estimate for Berezin's operator calculus |
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Authors: | L A Coburn |
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Institution: | Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14260 |
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Abstract: | F. A. Berezin introduced a general ``symbol calculus" for linear operators on reproducing kernel Hilbert spaces. For the particular Hilbert space of Gaussian square-integrable entire functions on complex -space, , we obtain Lipschitz estimates for the Berezin symbols of arbitrary bounded operators. Additional properties of the Berezin symbol and extensions to more general reproducing kernel Hilbert spaces are discussed. |
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Keywords: | |
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