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20152026
most citedBerezin number and Berezin norm inequalities for operator matrices

17 citations · 45 across the 17 of their papers we have counts for

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math.FA2026

Weighted composition operators on weighted Fock spaces

Somdatta Barik, Anirban Sen, Kallol paul

We provide a complete characterization of the bounded, compact, and Hilbert-Schmidt class weighted composition operators acting on weighted Fock spaces, extending the classical Foc…

math.FA2026

Weighted Composition-differentiation operators on weighted Dirichlet spaces

Anirban Sen, Somdatta Barik, Kallol Paul +1

We study weighted composition-differentiation operators of order on weighted Dirichlet spaces. Our main goal is to describe the operator-t…

math.FA2026

Numerical range and Berezin range of weighted composition operators on weighted Dirichlet spaces

Somdatta Barik, Anirban Sen, Kallol paul

We investigate the numerical ranges of weighted composition operators on weighted Dirichlet spaces, focusing on the properties of the inducing functions. We identify conditions on…

math.FA2026

Weighted composition operators on weighted Dirichlet spaces: boundedness, compactness and spectral properties

Anirban Sen

We establish necessary and sufficient conditions for the boundedness and compactness of weighted composition operators acting on weighted Dirichlet spaces and determine the spectru…

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…