3 papers
math.FA2026
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…
math.FA2025
New norm estimate for composition operators
Preeti Kumari, P. Muthukumar, Jaydeb Sarkar
The classical Littlewood's theorem establishes boundedness and provides a norm estimate for composition operators on the Hardy space. In this paper, we offer an alternative proof o…
math.FA2025
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…