Gargi Ghosh

activity

20172022

collaborators

5 papers

math.CV2022

Toeplitz operators on the Hardy spaces of quotient domains

Gargi Ghosh

Let $Ω$ be either the unit polydisc $D^{d}$ or the unit ball $B_{d}$ in $C^{d}$ and $G$ be a finite pseudoreflection group which acts on $Ω.$ Associated to each o…

math.FA2022

On analytic structure of weighted shifts on generalized directed semi-trees

Gargi Ghosh, Somnath Hazra

Inspired by natural classes of examples, we define generalized directed semi-tree and construct weighted shifts on the generalized directed semi-trees. Given an $n$ -tuple of direct…

math.FA2020

Multiplication operator on the Bergman space by a proper holomorphic map

Gargi Ghosh

Suppose that $f := (f_{1}, \dots, f_{d}) : Ω_{1} \to Ω_{2}$ is a proper holomorphic map between two bounded domains in $C^{d} .$ In this paper, we find a non-trivial minimal joint reducing…

math.CV2018

Reducing submodules of Hilbert Modules and Chevalley-Shephard-Todd Theorem

Shibananda Biswas, Swarnendu Datta, Gargi Ghosh +1

Let $G$ be a finite pseudoreflection group, $Ω \subseteq C^{n}$ be a bounded domain which is a $G$ -space and $H \subseteq O (Ω)$ be an analytic Hilbert module p…

math.FA2017

Reducing sub-modules of the Bergman module $A^{(λ)} (D^{n})$ under the action of the symmetric group

Shibananda Biswas, Gargi Ghosh, Gadadhar Misra +1

The weighted Bergman spaces on the polydisc, $A^{(λ)} (D^{n})$ , $λ > 0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(λ)}(\m…

Toeplitz operators on the Hardy spaces of quotient domains

On analytic structure of weighted shifts on generalized directed semi-trees

Multiplication operator on the Bergman space by a proper holomorphic map

Reducing submodules of Hilbert Modules and Chevalley-Shephard-Todd Theorem

Reducing sub-modules of the Bergman module A(λ)(Dn) under the action of the symmetric group

Reducing sub-modules of the Bergman module $A^{(λ)} (D^{n})$ under the action of the symmetric group