The finite sum of finite products of Toeplitz operators on the polydisk

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:320

Article

关键词: Toeplitz operators;    compact operators;    semi-commutators;    polydisk;   

DOI  :  10.1016/j.jmaa.2005.07.021

来源: Elsevier

【 摘 要 】

A limit theorem is established for a finite sum of finite products of Toeplitz operators on the Hardy space of the polydisk. As a consequence we show that the product of six Toeplitz operators with pluriharmonic symbols is compact iff the product equals zero iff one of these Toeplitz operators equals zero. (c) 2005 Elsevier Inc. All rights reserved.

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