Characterizations of the product of asymmetric dual truncated Toeplitz operators

Abstract

The asymmetric dual truncated Toeplitz operator (ADTTO) is a compression multiplication operator acting on the orthogonal complement of two different model spaces. In this paper, we present an operator equation characterization of an ADTTO using the compressed shift operator. As an application, the product of two ADTTOs with certain symbols being another ADTTO is obtained.

Keywords

• asymmetric dual truncated toeplitz operator
• hardy space
• model space
• product problem