Publications (11)
Applications of Reproducing Kernels in composition operators
Preeti Kumari, P. Muthukumar, Antti Rasila
In this paper, we illustrate the effectiveness of reproducing kernel Hilbert space techniques in the study of composition operators. For weighted Hardy spaces on the unit disk, we…
Composition operators between Beurling subspaces of Hardy space
V. A. Anjali, P. Muthukumar, P. Shankar
V. Matache (J. Operator Theory 73(1):243--264, 2015) raised an open problem about characterizing composition operators on the Hardy space and nonzero singular measures…
Bifurcation Patterns and Chaos Control in Discrete-Time Coral Reef Model
M. Priyanka, P. Muthukumar
The reduction in coral reef densities, characterized by the proliferation of macroalgae, has emerged as a global threat. In this paper, we present a discrete-time coral reef dynami…
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…
Finite-dimensional model spaces invariant under composition operators
P. Muthukumar, Jaydeb Sarkar, Batzorig Undrakh
Finite-dimensional model spaces are quotient spaces of the Hardy space on the open unit disc, determined by finite Blaschke products. Composition operators, on the other hand, act…
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 o…