Commutants and complex symmetry of finite Blaschke product multiplication operator in

Article Type

Research Article

Publication Title

Proceedings of the Edinburgh Mathematical Society

Abstract

Consider the multiplication operator MB in, where the symbol B is a finite Blaschke product. In this article, we characterize the commutant of MB in. As an application of this characterization result, we explicitly determine the class of conjugations commuting with or making complex symmetric by introducing a new class of conjugations in. Moreover, we analyse their properties while keeping the whole Hardy space, model space and Beurling-type subspaces invariant. Furthermore, we extended our study concerning conjugations in the case of finite Blaschke products.

First Page

261

Last Page

286

DOI

10.1017/S0013091523000809

Publication Date

2-11-2024

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