4 papers
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}^…
Isoperimetric inequalities and spectral consequences in warped product manifolds
Avas Banerjee
In this article, we investigate the centered isoperimetric inequality on Cartan-Hadamard manifolds endowed with a warped product structure, namely, among all bounded measurable set…
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…
Extremizer Stability of Higher-order Hardy-Rellich inequalities for Baouendi--Grushin vector fields
Avas Banerjee, Riju Basak, Prasun Roychowdhury
In this paper, we improve the -Rellich and Hardy-Rellich inequalities in the setting of radial Baouendi-Grushin vector fields. We establish an identity relating the subcritica…