1 citations · 1 across the 7 of their papers we have counts for
8 papers · 1 filter
Complete Nevanlinna-Pick property of -Invariant Reproducing Kernels
Miroslav Engliš, Somnath Hazra, Paramita Pramanick
Let be a Cartan domain and be a -invariant kernel on . In this article, we first obtain a necessary cond…
Brown-Halmos type characterization for the tetrablock
Shubham Jain, Surjit Kumar, Milan Kumar Mal +1
In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero oper…
Cartan Isometries and Toeplitz Operators on Cartan domains
Surjit Kumar, Milan Kumar Mal, Paramita Pramanick
We provide a description of the Shilov boundary of the classical Cartan domain in terms of Jordan triple determinant. As a consequence, we obtained an intrinsic characterization of…
Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem
Shubham Jain, Surjit Kumar, Milan Kumar Mal +1
We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpol…
Toeplitz operators on the -dimensional Hartogs triangle
Shubham Jain, paramita pramanick
We formally introduce and study Toeplitz operators on the Hardy space of the -dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz o…
Analyticity, rank one perturbations and the invariance of the left spectrum
Sameer Chavan, Soumitra Ghara, Paramita Pramanick
We address the question of the analyticity of a rank one perturbation of an analytic operator. If is the bounded operator of multiplication by on a functional Hi…