activity
20162026
most citedDiscrete Analogue of Generalized Hardy Spaces and Multiplication Operators on Homogenous Trees

15 citations · 15 across the 8 of their papers we have counts for

collaborators

10 papers

math.FA2026

Critical Norm Profiles for Finite-Prime Composition Operators on the Hardy Space of Dirichlet Series

Xiang Fang, Feng Guo, Aman Mishra +1

We identify the critical boundary operator-norm profile of finite-prime composition operators on the Hardy--Hilbert space \(\mathcal H^2\) of Dirichlet series. For \[ φ_{δ,\boldsym…

math.FA2021

Weighted composition operators between weighted Hardy spaces on rooted trees

P. Muthukumar, Ajay K. Sharma, Vivek Kumar

In this paper, we introduce a discrete analogue of weighted Hardy spaces on rooted trees and study weighted composition operators between them in detail. In particular, we characte…

math.FA2021

Model spaces invariant under composition operators

P. Muthukumar, Jaydeb Sarkar

Given a holomorphic self-map of $\D$ (the open unit disc in ), the composition operator , $f \in H^2(\mathbb{\D})$, defines a bounded linear oper…

math.FA2020

Multiplication operators between discrete Hardy spaces on rooted trees

P. Muthukumar, P. Shankar

Muthukumar and Ponnusamy \cite{MP-Tp-spaces} studied the multiplication operators on spaces. In this article, we mainly consider multiplication operators between $\m…

math.CV2020

Composition operators on Hardy spaces of the homogenous rooted trees

Perumal Muthukumar, Saminathan Ponnusamy

In \cite{CO-Tp-spaces}, the present authors initiated the study of composition operators on discrete analogue of generalized Hardy space defined on a homogeneous r…

math.FA2020

Beurling type invariant subspaces of composition operators

Snehasish Bose, P. Muthukumar, Jaydeb Sarkar

Let be the open unit disk in , let denote the Hardy space on and let be a holomorphic self map of…