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math.AP2025
Best constants for Hardy inequalities in Triebel--Lizorkin spaces
MichaÅ Kijaczko
We find sharp constants in fractional Hardy inequalities for weighted Triebel--Lizorkin seminorms on the whole space and half-spaces. Our results generalize recently obtained weigh…
math.AP2025
Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold
MichaÅ 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…
math.AP2024
Asymptotics of weighted Gagliardo seminorms
MichaÅ Kijaczko
In this paper we consider fractional Sobolev spaces equipped with weights being powers of the distance to the boundary of the domain. We prove the versions of Bourgain--Brezis--Mir…