Characterizations for Besov spaces and applications. Part I

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:310

Article

Li, SY ; Luo, W

关键词: Besov space;    duality theorem;   

DOI  :  10.1016/j.jmaa.2005.02.010

来源: Elsevier

【 摘 要 】

The main theorem of this paper gives a characterization for holomorphic Besov space BP(D) over a large class of bounded domains D in C-n, which states that there is a bounded linear operator V-D: B-P(D) -> L-P(D, d lambda) so that PVD = I on B-P(D), where P is the Bergman projection, and d lambda(z)= K(z,z)dv 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. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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