TOEPLITZ OPERATORS ON THE n-DIMENSIONAL HARTOGS TRIANGLE

Authors

• Shubham Jain, Indian Institute of Technology Kanpur
• Paramita Pramanick, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Operator Theory

Abstract

We formally introduce and study Toeplitz operators on the Hardy space of the n-dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz operators on the Hardy space of the unit polydisc Dⁿ. As an application, we deduce several properties of these operators from their polydisc counterparts. Furthermore, we show that certain results achieved for the Toeplitz operators on the n-dimensional Hartogs triangle are not the same as those in the polydisc case.

First Page

513

Last Page

526

DOI

10.7900/jot.2024feb14.2456

Publication Date

9-1-2025

Recommended Citation

Jain, Shubham and Pramanick, Paramita, "TOEPLITZ OPERATORS ON THE n-DIMENSIONAL HARTOGS TRIANGLE" (2025). Journal Articles. 5628.
https://digitalcommons.isical.ac.in/journal-articles/5628