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

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticlepeer-review

15 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 Sept 1

Bibliographical note

Funding Information:
✩ The first two authors were supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean Government (MEST) (R01-2008-000-20206-0). The third author was supported by the National Research Foundation of Korea grant funded by the Korean Government (NRF-2010-013-C00005). * Corresponding author. E-mail addresses: cbr@korea.ac.kr (B.R. Choe), koohw@korea.ac.kr (H. Koo), leeyj@chonnam.ac.kr (Y.J. Lee).

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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