25 citations · 81 across the 32 of their papers we have counts for
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math.AP2017
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds
Elvise Berchio, Debdip Ganguly, Gabriele Grillo +1
We prove \emph{optimal} improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of [J.Funct.Anal. 266…
math.FA2017★ 14 cited
Certain Liouville properties of eigenfunctions of elliptic operators
Ari Arapostathis, Anup Biswas, Debdip Ganguly
We present certain Liouville properties of eigenfunctions of second-order elliptic operators with real coefficients, via an approach that is based on stochastic representations of…