3 papers
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.PR2024
Shot-down stable processes
Krzysztof Bogdan, Kajetan Jastrzȩbski, Moritz Kassmann +2
The shot-down process is a strong Markov process which is annihilated, or shot down, when jumping over or to the complement of a given open subset of a vector space. Due to specifi…