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
Recommended Citation
Chattopadhyay, Arup and Das, Soma, "Commutants and complex symmetry of finite Blaschke product multiplication operator in" (2024). Journal Articles. 4660.
https://digitalcommons.isical.ac.in/journal-articles/4660