AN ADDITIVE INVARIANT ON THE VECTOR-VALUED HARDY SPACE OVER THE BALL

作者：Cheng Guozheng^*

来源：Journal of Operator Theory, 2012, 67(1): 21-31.

• Hardy space
• curvature invariant
• Samuel multiplicity
• fiber dimension

This paper concerns an additive invariant on any invariant subspaces of the vector-valued Hardy space over the ball, which is an analogous version of the Arveson's curvature invariant on the symmetric Fock space [2]. Inspired by Fang's work [9], [7], we prove that this invariant equals to the fiber dimension of the invariant subspace.

• 出版日期2012
• 单位温州大学