Salomon Sambou

collaborators

3 papers

math.CV2025

Solving the $\partial \partial$ for extendable currents without vanishing the boundary cohomology group

Mamadou Eramane Bodian, Souhaibou Sambou, SÃ©ny Diatta +1

In this paper, we consider the problem of solving the $\partial \partial$ equation with discribed support for differential forms in a relatively compact domain $I^c ◯$ of a…

math.CV2025

Generalized study of the operator $I^\pm \partial^{k} \partial ˉ^{k} + I^^{2} \partial ˉ^{k} + I^^{3} \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Eramane Bodian, Winnie Ossete Ingoba, Souhaibou Sambou +2

By HÃ¶rmander's $L^{2}$ -method, we study the operator $I^\pm \partial^{k} \partial ˉ^{k} + I^^{2} \partial ˉ^{k} + I^^{3} \partial^{k} + c$ for any order $k$ with $I^\pm, I^^{2}, I^^{3} \in R$ such…

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 $I^c ◯$ of an complex manifold $X$ .

Solving the ∂∂ for extendable currents without vanishing the boundary cohomology group

Generalized study of the operator I^±∂k∂ˉk+I^2∂ˉk+I^3∂k+c in weighted Hilbert space L2(C,e−∣z∣2)

Solving the ∂∂ˉ with prescribed support

Solving the $\partial \partial$ for extendable currents without vanishing the boundary cohomology group

Generalized study of the operator $I^\pm \partial^{k} \partial ˉ^{k} + I^^{2} \partial ˉ^{k} + I^^{3} \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

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