Published Paper

Inserted: 24 apr 2026
Last Updated: 24 apr 2026

Journal: Journal of Mathematical Analysis and Applications
Volume: 546
Number: 2
Pages: Paper No. 129227, 16
Year: 2025
Doi: 10.1016/j.jmaa.2025.129227

Abstract:

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 weighted fractional Hardy inequalities with singularities at a point and on a half-space, we generalize these results to handle singularities on any flat submanifold of codimension $k$, where $1<k<d$. Furthermore, we also address the critical case $sp=k+α+ β$ and establish weighted fractional Hardy inequality with appropriate logarithmic weight function.