Beurling quotient modules on the polydisc

Authors

Monojit Bhattacharjee, Indian Institute of Technology Bombay
B. Krishna Das, Indian Institute of Technology Bombay
Ramlal Debnath, Indian Statistical Institute, Bangalore
Jaydeb Sarkar, Indian Statistical Institute, Bangalore

Document Type

Research Article

Publication Title

Journal of Functional Analysis

Abstract

We present two applications: first, we obtain a dilation theorem for Brehmer n-tuples of commuting contractions, and, second, we relate joint invariant subspaces with factorizations of inner functions. All results work equally well for general vector-valued Hardy spaces.

First Page

1

Last Page

18

DOI

10.1016/j.jfa.2021.109258

Publication Date

1-1-2022

Recommended Citation

Bhattacharjee, Monojit; Das, B. Krishna; Debnath, Ramlal; and Sarkar, Jaydeb, "Beurling quotient modules on the polydisc" (2022). ISI Best Publications. 24.
https://digitalcommons.isical.ac.in/ibp/24