Dirichlet空间上Hankel算子与对偶Hankel算子的乘积

Product of Hankel Operator and Dual Hankel Operator in Dirichlet Space

研究Hankel算子与对偶Hankel算子的零积性,在Dirichlet空间上刻画其共轭解析函数的性质;并且应用Bergman空间上的算子理论,对一组标准正交基下的系数进行计算,最终得出"HfRg=0"时的充要条件.

In this paper, the Hankel operator and dual Hankel operator of the of the conjugate analytic functions is depicted in Dirichlet space.By zero product applying the is studied. Nature operator theory in Bergman space, under a set of standard orthogonal basis coefficients is calculated, finally, the necessary and sufficient conditions of HfRg = 0 is obtained.