{
  "abstract": "In this paper, we prove that given a quasi-$m$-hyperconvex domain $Ω\\subset X$ in a compact Kähler manifold $(X, ω)$, and a function $φ$ in the weighted energy class $\\mathcal{E}_χ^m(Ω, ω)$ with respect to a convex weight function $χ: \\mathbb{R} \\to \\mathbb{R}$, then there exists a maximal $ω$-$m$-subharmonic subextension $\\tildeφ$ to $X$ that preserves the weighted energy and satisfies good control properties for its Hessian measure $\\mathbf{1}_ΩH_m(\\tildeφ) \\leq \\mathbf{1}_ΩH_m(φ)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.19132",
  "author_total": 2,
  "authors": [
    {
      "name": "Hichame Amal"
    },
    {
      "name": "Ayoub El-Gasmi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/290agtmv32av4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.19132",
  "fulltext_url": null,
  "id": "290agtmv32av4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.19132",
  "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.CV"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7170087221",
  "pdf_url": "https://arxiv.org/pdf/2607.19132",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/290agtmv32av4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2607.19132",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.19132"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Maximal subextension of $m$-subharmonic functions",
  "title_text": "Maximal subextension of m-subharmonic functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/290agtmv32av4",
  "venue": "arXiv",
  "versions": []
}