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Compact Toeplitz Operators on pluriharmonic Bergman spaces

Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 1)

Publication Date:

Authors : ;

Page : 405-411

Keywords : Toeplitz Operators; Berezin transform; pluriharmonic function; Bergman spaces;

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Abstract

On the setting of the unit ball, we characterize compact Toeplitz operators on pluriharmonic Bergman spaces, in terms of the boundary vanishing conditions of the Berezin transform and certain differential quantity of the symbol. As a consequence, we characterize -harmonic and radial symbols of compact Toeplitz operators.

Last modified: 2021-07-01 14:30:04