Compact Toeplitz Operators on Pluriharmonic 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.
Keywords: Toeplitz Operators, Berezin transform, pluriharmonic function, Bergman spaces
How to Cite?: OSMAN ABDALLAH ADAM OSMAN, "Compact Toeplitz Operators on Pluriharmonic Bergman spaces", Volume 5 Issue 1, January 2016, International Journal of Science and Research (IJSR), Pages: 405-411, https://www.ijsr.net/getabstract.php?paperid=NOV152678, DOI: https://dx.doi.org/10.21275/NOV152678