Sums of Toeplitz products with harmonic symbols

Boo Rim Choe, Hyung Woon Koo, Young Joo Lee

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.

Original languageEnglish
Pages (from-to)43-70
Number of pages28
JournalRevista Matematica Iberoamericana
Volume24
Issue number1
Publication statusPublished - 2008 Aug 4

Fingerprint

Otto Toeplitz
Harmonic
Bergman Space
Finite Rank
Operator
Unit Disk
Class

Keywords

  • Bergman space
  • Finite rank operators
  • Toeplitz operators

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Sums of Toeplitz products with harmonic symbols. / Choe, Boo Rim; Koo, Hyung Woon; Lee, Young Joo.

In: Revista Matematica Iberoamericana, Vol. 24, No. 1, 04.08.2008, p. 43-70.

Research output: Contribution to journal › Article

Choe, BR, Koo, HW & Lee, YJ 2008, 'Sums of Toeplitz products with harmonic symbols', Revista Matematica Iberoamericana, vol. 24, no. 1, pp. 43-70.
Choe BR, Koo HW, Lee YJ. Sums of Toeplitz products with harmonic symbols. Revista Matematica Iberoamericana. 2008 Aug 4;24(1):43-70.
Choe, Boo Rim ; Koo, Hyung Woon ; Lee, Young Joo. / Sums of Toeplitz products with harmonic symbols. In: Revista Matematica Iberoamericana. 2008 ; Vol. 24, No. 1. pp. 43-70.
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