Bergman spaceBMOBloch spaceSiegel upper half-spaceOn 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, we use them to characterize bounded and compact Hankel operators on Bergman space. ...
Such differences are circumvented here by replacing the space of symbols $L^\\infty (\\T)$ by BMOr$(\\T^d)$, a subspace of product BMO, and the singular numbers of Hankel operators by so-called sigma numbers. This leads to versions of the Nehari--AAK and Kronecker theorems, and ...
Boundedness and Compactness of Toeplitz operators with L^1 symbols on the Bergman space This result extends known results in the cases when the symbol is either a positive L^1 function, an L^\\infty function or a general BMO^1 function... D Agbor - 《Mathematics》 被引量: 7发表: 2007...
Li Huiping.BMO,VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains J Funct Artal,1992.106:375～408.Li, H. (1992) BMO, VMO and Hankel operators on the Bergman spaces of strongly pseudoconvex domains. J.Funct.Anal. 106: pp. 375-408...