Santu Bera

activity

20242026

collaborators

3 papers

math.FA2026

Lévy measures for Dirichlet-type spaces on the unit bidisc

Santu Bera, Shanola S. Sequeira

For the Dirichlet-type space $D (ρ^{(1)}, ρ^{(2)})$ on the unit bidisc $D^{2},$ where $ρ^{(1)}$ and $ρ^{(2)}$ are finite positive Borel measures on the closed unit dis…

math.FA2025

Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators

Santu Bera

We discuss a notion, originally introduced by Aleman in one variable, of Dirichlet-type space $D (μ_{1}, μ_{2})$ on the unit bidisc $D^{2},$ with superharmonic weights rel…

math.CV2024

A transference principle for involution-invariant functional Hilbert spaces

Santu Bera, Sameer Chavan, Shubham Jain

Let $σ : C^{d} \to C^{d}$ be an affine-linear involution such that $J_{σ} = - 1$ and let $U, V$ be two domains in $C^{d} .$ Let $ϕ : U \to V$ be a $σ$ -in…