BMO and Hankel operators on Bergman space of the Siegel upper half-space

DOI10.1007/S11785-022-01198-8arXiv2109.01320MaRDI QIDQ6376735

Publication date: 3 September 2021

Abstract: On the setting of the Siegel upper half-space we study the spaces of bounded and vanishing mean oscillations which are defined in terms of the Berezin transform, and we use them to characterize bounded and compact Hankel operators on Bergman space.

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

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