A Lipschitz estimate for Berezin’s operator calculus
Copyright policy )A Lipschitz estimate for Berezin’s operator calculus
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 n n -space, C n \mathbf {C}^{n} , 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.
- University at Buffalo, State University of New York United States
Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Segal-Bargmann space, Lipschitz function, Bergman spaces of functions in several complex variables, Bergman space, Berezin calculus, Berezin symbols
Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Segal-Bargmann space, Lipschitz function, Bergman spaces of functions in several complex variables, Bergman space, Berezin calculus, Berezin symbols
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