Schatten–Herz type positive Toeplitz operators on pluriharmonic Bergman spaces
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- 作者：Eun Sun Choi ; Kyunguk Na
- 关键词：Toeplitz operator ; Schatten– ; Herz type ; Pluriharmonic Bergman space
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2007
- 出版时间：1 March 2007
- 年：2007
- 卷：327
- 期：1
- 页码：679-694
- 全文大小：179 K
文摘
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.