JournalsrmiVol. 24, No. 1pp. 43–70

Sums of Toeplitz products with harmonic symbols

  • Boo Rim Choe

    Korea University, Seoul, South Korea

  • Hyungwoon Koo

    Korea University, Seoul, South Korea

  • Young Joo Lee

    Chonnam National University, Gwangju, South Korea
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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.

Cite this article

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee, Sums of Toeplitz products with harmonic symbols. Rev. Mat. Iberoam. 24 (2008), no. 1, pp. 43–70

DOI 10.4171/RMI/529