Finite rank Toeplitz products with harmonic symbols

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

On the Bergman space of the unit ball of Cn, we study the finite rank problem for Toeplitz products with harmonic symbols. We first solve the problem with two factors in case symbols have local continuous extension property up to the boundary. Also, in case symbols have additional Lipschitz continuity up to (some part of) the boundary, we solve the problem for multiple products with number of factors depending on the dimension n. Analogous theorems on the polydisk are also obtained.

Original languageEnglish
Pages (from-to)81-98
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume343
Issue number1
DOIs
Publication statusPublished - 2008 Jul 1

    Fingerprint

Keywords

  • Bergman space
  • Finite rank
  • Harmonic symbol
  • Toeplitz operator

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this