4 papers
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\…
Boundary fractional Hardy's inequality in dimension one: The critical case
Adimurthi, Purbita Jana, Prosenjit Roy
We prove fractional boundary Hardy's inequality in dimension one for the critical case . Optimality of the inequality is obtained for any . The extra logarithmic correcti…
A fractional Hardy-Sobolev inequality of Michael-Simon type on convex hypersurfaces
Gyula Csató, Prosenjit Roy
In this paper we prove a fractional version of a Caffarelli-Kohn-Nirenberg type interpolation inequality on hypersurfaces which are boundaries of convex sets. Th…
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…