Schatten–Herz type positive Toeplitz operators on pluriharmonic Bergman spaces

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. © 2006 Elsevier Inc. All rights reserved