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Improved Hardy and Rellich inequalities for antisymmetric and odd functions

Classical Analysis and ODEs 2024-04-30 v2 Analysis of PDEs Functional Analysis

Abstract

We investigate the Hardy and Rellich inequalities for classes of antisymmetric and odd functions and general exponent pp. The obtained constants are better than the classical ones.

Keywords

Cite

@article{arxiv.2401.01677,
  title  = {Improved Hardy and Rellich inequalities for antisymmetric and odd functions},
  author = {Michał Kijaczko},
  journal= {arXiv preprint arXiv:2401.01677},
  year   = {2024}
}

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12 pages