{
  "abstract": "We prove that certain classes of nonlocal integral estimates on domains, involving operators, may be reduced to the local analogues without the singular weight on cubes. The theory applies to two-sided inverse doubling and quasi-monotone kernels with some moment conditions, and with a left-hand-side operator with average domain-bi-Lipschitz properties. Direct applications to fractional semi-norm inequalities in Peridynamics, such as fractional Korn's inequalities and Geometric Rigidity Estimates are presented.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39437",
  "author_total": 1,
  "authors": [
    {
      "name": "Davit Harutyunyan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1w7c4q52qr25e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39437",
  "fulltext_url": null,
  "id": "1w7c4q52qr25e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39437",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39437",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1w7c4q52qr25e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39437",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39437"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Singularity removal in nonlocal operator inequalities on domains and applications",
  "title_text": "Singularity removal in nonlocal operator inequalities on domains and applications",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/1w7c4q52qr25e",
  "venue": "arXiv",
  "versions": []
}