Positive Schatten(-Herz) Class Toeplitz Operators on the Half-space |
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| Authors: | Boo Rim Choe Hyungwoon Koo Young Joo Lee |
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| Institution: | (1) Department of Mathematics, Korea University, Seoul, 136-713, Korea;(2) Department of Mathematics, Chonnam National University, Gwangju, 500-757, Korea |
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| 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.
This research was supported by KOSEF(R01-2003-000-10243-0). |
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| Keywords: | Toeplitz operator Harmonic Bergman space Schatten class Schatten-Herz class |
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