Affiliation:
1. School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, China
Abstract
In this paper, we completely characterize the reducing subspaces for
on weighted Hardy space
under three assumptions on
, where
,
, and
. It is shown that the coefficient
does not affect the reducing subspaces for
. We also prove that, for every
, weighted Dirichlet space
is a weighted Hardy space which satisfies these assumptions. As an application, we describe the reducing subspaces for
on
and get the structure of commutant algebra
.
Funder
Fundamental Research Funds for the Central Universities
Reference15 articles.
1. Reducing subspaces of certain analytic Toeplitz operators on the Bergman space;S. Sun;Northeastern Mathematical Journal,1998
2. Reducing Subspaces for a Class of Multiplication Operators
3. Reducing subspaces for analytic multipliers of the Bergman space
4. Multiplication Operators on the Bergman Space
5. Multiplication operators on Bergman spaces over polydisks associated with integer matrix;H. Dan;Bulletin of the Korean Mathematical Society,2018
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