2 papers
math.FA2026
An introduction of Berezin sectorial operators and its application to Berezin number inequalities
Saikat Mahapatra, Sweta Mukherjee, Anirban Sen +2
We introduce a new class of operators, called Berezin sectorial operators, which generalizes classical sectorial operators. We provide examples on the Hardy-Hilbert space showing t…
math.FA2026
A note on weighted composition operators on Dirichlet space
Subhadip Halder, Sweta Mukherjee, Riddhick Birbonshi
In this paper, we provide some sufficient conditions for the compactness of weighted composition operators on Dirichlet space. Furthermore, we characterize the numerical range of c…