Commutativity of the Berezin Transform of the Pluriharmonic Functions
Author:
S. M. Vaezpour
Total Page Count: 5
DOI:
Page Number: 83 to 87
Department of Mathematics, Amirkabir University of Technology, Tehran, Iran. E-mail: vaez@aut.ac.ir
AMS Subject Classification: Primary 47B35, 47B05.
Abstract
Let B be the open unit ball in the n-space Cn and Tu be the Toeplitz operator on the Bergman space (B) with symbol u. For u∈L∞, the Berezin transform of u, is denoted by ũ and is defined as ũ (z) = <Tukz, kz>. In the present paper we discuss the multiplication and commutativity of the Berezin transform of the pluriharmonic functions.
