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A note on the fractional Hardy inequality

Functional Analysis 2022-12-05 v2

Abstract

We give a direct proof of fractional Hardy inequality by means of Littlewood-Paley decomposition and properties of singular homogeneous kernels of degree -dd. A refinement when q>2q>2 is proved.

Keywords

Cite

@article{arxiv.2211.05399,
  title  = {A note on the fractional Hardy inequality},
  author = {Matteo Aldovardi and Jacopo Bellazzini},
  journal= {arXiv preprint arXiv:2211.05399},
  year   = {2022}
}

Comments

10 pages