Weighted fractional Hardy inequalities with singularity on any flat submanifold

Weighted fractional Hardy inequalities with singularity on any flat submanifold

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 ha...

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Veröffentlicht in:Journal of mathematical analysis and applications 2025-06, Vol.546 (2), p.129227, Article 129227
1. Verfasser: Sahu, Vivek
Format: Artikel
Sprache:eng
Schlagworte:
Critical cases
Fractional Hardy inequality
Weighted fractional Sobolev spaces
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Zusammenfassung: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
ISSN:0022-247X
DOI:10.1016/j.jmaa.2025.129227