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Schatten Class Hankel Operators on the Harmonic Bergman Space of the Unit Ball

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Abstract.

We give a necessary and sufficient condition for Hankel operators H f on the harmonic Bergman space of the unit ball to be in the Schatten p-class for 2 ≤ p < ∞. A special case when symbol f is a harmonic function is also considered.

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  1. Department of Mathematics and Statistics, State University, P.O. Box 70, Arkansas, AR, 72467, U.S.A.

    Jie Miao

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  1. Jie Miao
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Correspondence to Jie Miao.

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Miao, J. Schatten Class Hankel Operators on the Harmonic Bergman Space of the Unit Ball. Integr. equ. oper. theory 59, 53–65 (2007). https://doi.org/10.1007/s00020-007-1508-y

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  • DOI: https://doi.org/10.1007/s00020-007-1508-y

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