向量值Bergman空间上块Toeplitz算子的零积问题

Zero Product Problem of Block Toeplitz Operator in Vector Value Bergman Space

本文给出了向量值Bergman空间上块Toeplitz算子TFTG =0的一个充分必要条件,其中F为一般本性有界向量值函数,G为调和多项式。

We give a necessary and sufficient condition for the block Toeplitz operator on vector value Bergman space, where F is the bounded vector value function of general nature, G is harmonic polynomial.