17 citations · 45 across the 17 of their papers we have counts for
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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…
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…
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…
Berezin number and Berezin norm inequalities via Moore-Penrose inverse
Saikat Mahapatra, Anirban Sen, Riddhick Birbonshi +1
In this article, we establish the Berezin number and Berezin norm inequalities for bounded linear operators on a reproducing kernel Hilbert space using the Moore-Penrose inverse. T…
Numerical range of Toeplitz and Composition operators on weighted Bergman spaces
Anirban Sen, Subhadip Halder, Riddhick Birbonshi +1
In this paper we completely describe the numerical range of Toeplitz operators on weighted Bergman spaces with harmonic symbol. We also characterize the numerical range of weighted…
A note on the -numerical range of semi-Hilbertian operators
Anirban Sen, Riddhick Birbonshi, Kallol Paul
In this paper we explore the relation between the -numerical range and the -spectrum of -bounded operators in the setting of semi-Hilbertian structure. We introduce a new…
Berezin number and Berezin norm inequalities for operator matrices
Pintu Bhunia, Anirban Sen, Somdatta Barik +1
We establish new upper bounds for Berezin number and Berezin norm of operator matrices, which are refinements of the existing bounds. Among other bounds, we prove that if $A=[A_{ij…
Numerical radius inequalities of sectorial matrices
Pintu Bhunia, Kallol Paul, Anirban Sen
We obtain several upper and lower bounds for the numerical radius of sectorial matrices. We also develop several numerical radius inequalities of the sum, product and commutator of…
Numerical radius inequalities for tensor product of operators
Anirban Sen, Pintu Bhunia, Kallol Paul
The two well-known numerical radius inequalities for the tensor product acting on , where and are bounded linear operators defi…
Davis-Wielandt-Berezin radius inequalities of Reproducing kernel Hilbert space operators
Anirban Sen, Pintu Bhunia, Kallol Paul
Several upper and lower bounds of the Davis-Wielandt-Berezin radius of bounded linear operators defined on a reproducing kernel Hilbert space are given. Further, an inequality invo…
Development of the Berezin number inequalities
Pintu Bhunia, Anirban Sen, Kallol Paul
We present new bounds for the Berezin number inequalities which improve on the existing bounds. We also obtain bounds for the Berezin norm of operators as well as the sum of two op…
Inequalities involving Berezin norm and Berezin number
Pintu Bhunia, Kallol Paul, Anirban Sen
We obtain new inequalities involving Berezin norm and Berezin number of bounded linear operators defined on a reproducing kernel Hilbert space Among many inequalitie…
New semi-norm of semi-Hilbertian space operators and its application
Pintu Bhunia, Anirban Sen, Kallol Paul
In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic propertie…