International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064




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Research Paper | Mathematics | Sudan | Volume 5 Issue 1, January 2016


Compact Toeplitz Operators on pluriharmonic Bergman spaces

OSMAN ABDALLAH ADAM OSMAN


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


Edition: Volume 5 Issue 1, January 2016,


Pages: 405 - 411


How to Cite this Article?

OSMAN ABDALLAH ADAM OSMAN, "Compact Toeplitz Operators on pluriharmonic Bergman spaces", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=NOV152678, Volume 5 Issue 1, January 2016, 405 - 411

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