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 Cn, which states that there is a bounded linear operator
VD :Bp(D)→Lp(D, dλ) so that PVD = I on Bp(D), where P is the Bergman projection,
and dλ(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.
2005 Elsevier Inc. All rights reserved
