Santu Bera

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20242026

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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…