1 citations · 6 across the 9 of their papers we have counts for
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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…
Quantitative stability for weighted Hardy inequalities: Local and nonlocal cases
Vivek Sahu
We establish quantitative stability estimates for weighted Hardy inequalities in the local and fractional settings, showing that the Hardy deficit controls the distance of a normal…
Improved quantitative stability for the critical Hardy inequality
Vivek Sahu
We establish a quantitative stability estimate for the critical Hardy inequality on bounded domains containing the origin. Our result improves the existing quantitative stability e…
Trudinger-Moser type inequality in fractional Sobolev space with singularity on smooth submanifold
Vivek Sahu
We prove a Trudinger-Moser type inequality in fractional Sobolev spaces with singularities on smooth compact sets of codimension , where and . The singular t…
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…