Abstract
On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.
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This research was supported by KOSEF(R01-2003-000-10243-0).
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Choe, B.R., Koo, H. & Lee, Y.J. Positive Schatten(-Herz) Class Toeplitz Operators on the Half-space. Potential Anal 27, 73–100 (2007). https://doi.org/10.1007/s11118-007-9044-6
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DOI: https://doi.org/10.1007/s11118-007-9044-6