在这份报纸,我们主要在联合起来的球的加权的 Bergman 空格与 square-integrable 符号考虑小 Hankel 操作员。我们获得小 Hankel 操作符的那个 Schatten 类在条件下面等价于积极 Toeplitz 操作符的 Schatten 班那 SMO (f) LP/2 (Bn, d ) 并且 2 p < ,它是很重要的研究在 Toeplitz 操作符和小 Hankel 操作符之间的关系。
In this paper we mainly consider little Hankel operators with squareintegrable symbols on the weighted Bergman spaces of the unit ball.We obtain that Schatten class of little Hankel operators is equivalent to Schatten class of positive Toeplitz operators under the conditions that SMO(f) ∈ L p/2 (B n,dλ) and 2 ≤ p ∞,which is very important to research the relation between Toeplitz operators and little Hankel operators.