Abstract
We study the characterizing problem of the compactness of radial operators on the harmonic Bergman space. We show that under an oscillation condition, the compactness is equivalent to the boundary vanishing conditions of the certain Berezin transforms. As an application, we characterize compact Toeplitz operators with radial symbol on the harmonic Bergman space.
Citation
Young Joo Lee. "Compact radial operators on the harmonic Bergman space." J. Math. Kyoto Univ. 44 (4) 769 - 777, 2004. https://doi.org/10.1215/kjm/1250281697
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