3 papers
math.AP2025
Best constants for Hardy inequalities in Triebel--Lizorkin spaces
Michał 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
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…
math.AP2020
On density of smooth functions in weighted fractional Sobolev spaces
Bartłomiej Dyda, Michał Kijaczko
We prove that smooth functions are dense in weighted fractional Sobolev spaces on an arbitrary open set, under some mild conditions on the weight. We also obtain a~simil…