M-harmonic Besovp-spaces and Hankel operators in the Bergman space on the ball in ℂn
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In this paper, we characterize the Hardy class ofM-harmonic functions on the unit ballB in ℂn in terms of the Berezin transform. We define and study the Besovp-spaces ofM-harmonic functions. For anM-harmonic symbolf, we give various criteria for the Hankel operatorsHf andHf to be bounded, compact or in the Schatten-von-Neumann classSp. These criteria establish a close relationship among Besovp-spaces, Berezin transform, the invariant Laplacian, and Hankel operators on the unit ballB.
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