collaborators

5 papers

math.AP2026

Hardy-Sobolev-Maz'ya inequalities for

Avas Banerjee, Michał Kijaczko, Vivek Sahu

We establish Hardy--Sobolev--Maz'ya inequalities in the subquadratic range for singularities supported on affine subspaces and for arbitrary domains. We first prove a Hardy…

math.AP2026

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…

math.DG2026

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…

math.AP2026

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…

math.AP2025

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…