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On fractional Orlicz boundary Hardy inequalities

Analysis of PDEs 2025-02-11 v3

Abstract

We investigate the fractional Orlicz boundary Hardy-type inequality for bounded Lipschitz domains. Further, we establish fractional Orlicz boundary Hardy-type inequalities with logarithmic corrections for specific critical cases across various domains, such as bounded Lipschitz domains, domains above the graph of a Lipschitz function, and the complement of a bounded Lipschitz domain.

Keywords

Cite

@article{arxiv.2408.04890,
  title  = {On fractional Orlicz boundary Hardy inequalities},
  author = {Subhajit Roy},
  journal= {arXiv preprint arXiv:2408.04890},
  year   = {2025}
}

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