2 citations · 4 across the 7 of their papers we have counts for
10 papers
Sum of self-commutators of commuting operators
Sameer Chavan, Md. Ramiz Reza, Shanola S. Sequeira
It is well known that every hyponormal operator on a complex Hilbert space whose spectrum has planar Lebesgue measure zero is normal. In particular, every compact hyponormal operat…
Cesàro summability of Taylor series in higher order weighted Dirichlet type spaces
Soumitra Ghara, Rajeev Gupta, Md. Ramiz Reza
For a positive integer and a finite non-negative Borel measure on the unit circle, we study the Hadamard multipliers of higher order weighted Dirichlet-type spaces $\mathca…
Bi-isometries reducing the hyper-ranges of the coordinates
Sameer Chavan, Md. Ramiz Reza
Let be a bi-isometry, that is, a pair of commuting isometries and on a complex Hilbert space By the von Neumann-Wold decomposition, the hyper…
A local Douglas formula for higher order weighted Dirichlet-type integrals
Soumitra Ghara, Rajeev Gupta, Md. Ramiz Reza
We prove a local Douglas formula for higher order weighted Dirichlet-type integrals. With the help of this formula, we study the multiplier algebra of the associated higher order w…
The Cauchy dual subnormality problem via de Branges-Rovnyak spaces
Sameer Chavan, Soumitra Ghara, Md Ramiz Reza
The Cauchy dual subnormality problem (for short, CDSP) asks whether the Cauchy dual of a -isometry is subnormal. In this paper, we address this problem for cyclic -isometries…
Dirichlet-type spaces on the unit ball and joint 2-isometries
Sameer Chavan, Rajeev Gupta, Md. Ramiz Reza
We obtain a formula that relates the spherical moments of the multiplication tuple on a Dirichlet-type space to a complex moment problem in several variables. This can be seen as t…
Analytic m-isometries and weighted Dirichlet-type spaces
S. Ghara, R. Gupta, Md. R. Reza
Corresponding to any -tuple of semi-spectral measures on the unit circle, a weighted Dirichlet-type space is introduced and studied. We prove that the operator of multiplica…
Hausdorff moment sequences induced by rational functions
Md. Ramiz Reza, Genkai Zhang
We study the Hausdorff moment problem for a class of sequences, namely where is a rational function in the complex plane. We obtain a necessary cond…
Curvature Inequalities and Extremal Operators
Gadadhar Misra, Md. Ramiz Reza
A curvature inequality is established for contractive commuting tuples of operators in the Cowen-Douglas class of rank n. Properties of the extremal operators, that is, the operato…
Curvature inequalities for operators in the Cowen-Douglas class of a planar domain
Md. Ramiz Reza
Fix a bounded planar domain If an operator in the Cowen-Douglas class admits the compact set as a spectral set, then the curvature inequality $\mathcal…