Finite rank sums of products of Toeplitz and Hankel operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:397

Article

Lee, Young Joo

关键词: Toeplitz operator;    Hankel operator;    Dirichlet space;    Finite rank;   

DOI  :  10.1016/j.jmaa.2012.08.014

来源: Elsevier

【 摘 要 】

On the Dirichlet space of the unit disk, we consider operators which are finite sums of Toeplitz products, Hankel products or products of Toeplitz and Hankel operators. We then give characterizations of when such operators have finite rank on the Dirichlet space. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free