25 citations · 81 across the 32 of their papers we have counts for
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Gromov-Hausdorff Stability and Rigidity of manifolds via Heisenberg-Pauli-Weyl Uncertainty Principle
Mousomi Bhakta, Debdip Ganguly, Debabrata Karmakar
The classical Heisenberg Pauli Weyl (HPW) inequality exhibits a strong rigidity phenomenon on Riemannian manifolds i.e. on Cartan Hadamard manifolds and those with non-negative Ric…
Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis
Avas Banerjee, Debdip Ganguly, Vivek Sahu
A classical result due to Frank and Seiringer asserts that for , there exists a sharp constant such that $$ δ_{s,p}(u):=\int_{\mathbb{R}^N…
Conformally invariant equations with negative critical exponents on the three dimensional hyperbolic space
Debdip Ganguly, Jungang Li, Guozhen Lu +1
We establish a symmetry result for positive entire solutions with a prescribed growth rate to the following fourth order equation on the 3-dimensional hyperbolic space $\mathbb{H}^…
Logarithmic Sobolev, Poincaré and Beckner Inequalities on Hyperbolic Spaces and Riemannian Manifolds
Anh Xuan Do, Debdip Ganguly, Nguyen Lam +1
We investigate several functional and geometric inequalities on the hyperbolic space , with a primary emphasis on logarithmic Sobolev inequalities, Poincaré inequalit…
Sharp Quantitative Forms of the Hardy Inequality on Cartan-Hadamard Manifolds via Sobolev-Lorentz Embeddings
Avas Banerjee, Debdip Ganguly, Prasun Roychowdhury
In this article, we investigate the quantitative form of the classical Hardy inequality. In our first result, we prove the following quantitative bound under the assumption that th…