Winnie Ossete Ingoba

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math.CV2025

Generalized study of the operator $α \partial^{k} \partial ˉ^{k} + β \partial ˉ^{k} + γ \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Eramane Bodian, Winnie Ossete Ingoba, Souhaibou Sambou +2

By Hörmander's $L^{2}$ -method, we study the operator $α \partial^{k} \partial ˉ^{k} + β \partial ˉ^{k} + γ \partial^{k} + c$ for any order $k$ with $α, β, γ \in R$ such that $(…

math.CV2025

Solving the $\partial \partial ˉ$ with prescribed support

Winnie Ossete Ingoba, Souhaibou Sambou, Salomon Sambou

In this paper, we consider the problem of solving the $\partial \partial ˉ$ with prescribed support for forms or currents in a domain $Ω$ of an complex manifold $X$ .

Generalized study of the operator α∂k∂ˉk+β∂ˉk+γ∂k+c in weighted Hilbert space L2(C,e−∣z∣2)

Solving the ∂∂ˉ with prescribed support

Generalized study of the operator $α \partial^{k} \partial ˉ^{k} + β \partial ˉ^{k} + γ \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Solving the $\partial \partial ˉ$ with prescribed support