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

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

Fingerprint

Otto Toeplitz
Hardy Space
Ball
Toeplitz Operator
Finite Rank
Operator
Unit ball
High-dimensional
Form

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Toeplitz products with pluriharmonic symbols on the Hardy space over the ball. / Choe, Boo Rim; Koo, Hyung Woon; Lee, Young Joo.

In: Journal of Mathematical Analysis and Applications, Vol. 381, No. 1, 01.09.2011, p. 365-382.

Research output: Contribution to journalArticle

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