D. Ganguly

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20122026

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-Poincaré inequalities on the hyperbolic space

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

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2 papers · 1 filter

math.CA2015★ 3 cited

Improved higher order Poincaré inequalities on the hyperbolic space via Hardy-type remainder terms

Elvise Berchio, Debdip Ganguly

The paper deals about Hardy-type inequalities associated with the following higher order Poincaré inequality: $$ \left( \frac{N-1}{2} \right)^{2(k -l)} := \inf_{ u \in C_{c}^{\inft…

math.CA2015

Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space

Elvise Berchio, Debdip Ganguly, Gabriele Grillo

We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian $- Δ_{H^{N}} - (N - 1)^{2} /4$ on the hyperbolic space $H^{N}$ , $(N - 1)^{2} /4$ being,…