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Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces
Authors:Eun Sun Choi
Institution:Department of Mathematics, Korea University, Seoul 136-701, Republic of Korea
Abstract:Recently, Schatten-Herz type Toeplitz operators have been studied on the Bergman spaces and the harmonic Bergman spaces. Motivated these results, we study characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions on the ball of pluriharmonic Bergman spaces.
Keywords:Toeplitz operator  Schatten-Herz type  Pluriharmonic Bergman space
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