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Characterizations for Besov spaces and applications. Part I
Authors:Song-Ying Li  Wallace Luo
Institution:aDepartment of Mathematics, University of California, Irvine, CA 92697, USA;bDepartment of Mathematics, Fujian Normal University, Fujian 350007, PR China
Abstract:The main theorem of this paper gives a characterization for holomorphic Besov space Bp(D) over a large class of bounded domains D in , which states that there is a bounded linear operator so that PVD=I on Bp(D), where P is the Bergman projection, and is the biholomorphic invariant measure with K(z,z) being Bergman kernel function for D. Moreover, some application for characterizing Schatter von Neumann p-class small Hankel operation is given as a direct consequence of this theorem.
Keywords:Besov space  Duality theorem
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