Invariant subspaces and Hankel type operators on a Bergman space
Preprint Series # 686 Nakazi, Takahiko and Osawa, Tomoko Invariant subspaces and Hankel type operators on a Bergman space. (2005); AbstractLet$L^2=L^2(D,r dr d \theta/\pi)$ be the Lebesgue space on the open unit disk $D$ and let $L^2_a=L^2\cap Hol(D)$ be a Bergman space on $D$. In this paper,we are interested in a closed subspace $\mathcal{M}$ of $L^2$ which is invariant under the multiplication by the coordinate funcion $z$, and a Hankel type operator from $L^2_a$ to $\mathcal{M}^\bot$. In particular, we study an invariant subspace $\mathcal{M}$ such that there does not exist a finite rank Hankel type operator except a zero operator. Item Type:  Preprint 

Additional Information:  30 copies 

Uncontrolled Keywords:  Bergman space, invariant subspace, Hankel type operator 

Subjects:  47xx OPERATOR THEORY 

ID Code:  846 

