8 papers
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…
Composition-differentiation operators on weighted Dirichlet spaces
Anirban Sen, Somdatta Barik, Kallol paul
We characterize bounded, compact, and Hilbert-Schmidt composition-differentiation operators on weighted Dirichlet spaces. The essential norm is estimated via the asymptotic behavio…
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…
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…
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…
On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces
Anirban Sen, Somdatta Barik, Kallol Paul
In this article, we completely characterize the Berezin range of Toeplitz operators with harmonic symbols acting on weighted Bergman spaces, illustrating the necessity of the harmo…