二维Hankel算子的Schatten-Von Neumann类

2-dimensional Hankel Operators of Schatten -Von Neumann Class

本文在二维欧氏空间的情况,给出Hankel算子属于Schatten-Von Neumann类S_p(1≤p<∞)的充分必要条件:算子的符号属于齐次乘积型的Besov空间B_p^(1/p,1/p),p(IR×IR)。

The high dimensional Hankel operators which were described by Janson and Peetre are considered. The Besov spaces in product spaces, which were introduced by this paper's authors before, are used to give the characterizations of 2-dimensional Hankel operators belonging to Schatten-von Neumann class Sp(1≤p<∞).