1 citations · 6 across the 9 of their papers we have counts for
11 papers
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 $$ δ_{s,p}(u):=\int_{\mathbb{R}^N…
Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold
Michał Kijaczko, Vivek Sahu
We investigate the sharp constant for weighted fractional Hardy inequalities with the singularity on a flat submanifold of codimension , where . We also prove a weigh…
The Trudinger type inequality in fractional boundary Hardy inequality
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish Trudinger-type inequality in the context of fractional boundary Hardy-type inequality for the case , where on a bounded Lipschitz domain $Ω\…
Weighted fractional Hardy inequalities with singularity on any flat submanifold
Vivek Sahu
We extend the work of Dyda and Kijaczko by establishing the corresponding weighted fractional Hardy inequalities with singularities on any flat submanifolds. While they derived wei…
Fractional Hardy inequality with singularity on submanifold
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish fractional Hardy inequality on bounded domains in with inverse of distance function from smooth boundary of codimension , where , as…
Boundary Hardy inequality on functions of bounded variation
Adimurthi, Prosenjit Roy, Vivek Sahu
Classical boundary Hardy inequality, that goes back to 1988, states that if is bounded Lipschitz domain, then for all , $$\int_Ω \fr…
Fractional boundary Hardy inequality for the critical cases
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish generalised fractional boundary Hardy-type inequality, in the spirit of Caffarelli-Kohn-Nirenberg inequality for different values of and on various domains in…