Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena.

Original languageEnglish
Pages (from-to)365-382
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume381
Issue number1
DOIs
Publication statusPublished - 2011 Sep 1

Keywords

  • Hardy space
  • Pluriharmonic symbol
  • Toeplitz operator
  • Zero product

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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