Hankel operators in the Bergman space and Schatten p-classes:: The case 1<p<2

被引：10

作者：

Xia, JB ^{[1
]}

机构：

[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 12期

关键词：

D O I：

10.1090/S0002-9939-01-06217-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

K. Zhu proved in Amer. J. Math. 113 (1991), 147-167, that, for 2 less than or equal to p < <infinity>, the Hankel operators H-f and H-(f) over bar on the Bergman space belong to the Schatten class C-p if and only if the mean oscillation MO(f)(z) = {<(<vertical bar>f \ (2))over tilde>(z) - \(f) over tilde (z)\ (2)}(1/2) belongs to L-p (D,(1 - \z \ (2))(-2)dA(z)). In this paper we prove that the same result also holds when 1 < p < 2.

引用

页码：3559 / 3567

页数：9

共 6 条

[1] HANKEL-OPERATORS ON WEIGHTED BERGMAN SPACES [J].