D. Ganguly

activity

20122026

^{p}

-Poincaré inequalities on the hyperbolic space

25 citations · 81 across the 32 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.FA2016★ 25 cited

Improved L $^{p}$ -Poincaré inequalities on the hyperbolic space

Elvise Berchio, Lorenzo D'Ambrosio, Debdip Ganguly +1

We investigate the possibility of improving the $p$ -Poincaré inequality $∥ \nabla_{H^{N}} u ∥_{p} \geq Λ_{p} ∥ u ∥_{p}$ on the hyperbolic space, where $p > 2$ and $Λ_p:=[(N-1)/p]^{p}…

math.AP2016

On Green functions of second-order elliptic operators on Riemannian manifolds: The critical case

Debdip Ganguly, Yehuda Pinchover

Let P be a second-order, linear, elliptic operator with real coefficients which is defined on a noncompact and connected Riemannian manifold M. It is well known that the equation P…

math.AP2016

On the Equivalence of Heat Kernels of Second-order parabolic operators

Debdip Ganguly, Yehuda Pinchover

Let $P$ be a second-order, symmetric, and nonnegative elliptic operator with real coefficients defined on noncompact Riemannian manifold $M$ , and let $V$ be a real valued function…

Improved Lp-Poincaré inequalities on the hyperbolic space

On Green functions of second-order elliptic operators on Riemannian manifolds: The critical case

On the Equivalence of Heat Kernels of Second-order parabolic operators

Improved L $^{p}$ -Poincaré inequalities on the hyperbolic space