Compact Toeplitz Operators on pluriharmonic Bergman spaces
Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 1)Publication Date: 2016-01-05
Authors : OSMAN ABDALLAH ADAM OSMAN;
Page : 405-411
Keywords : Toeplitz Operators; Berezin transform; pluriharmonic function; Bergman spaces;
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.
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