{
  "abstract": "Let $1 < p < \\infty$. We identify the optimal decay exponent of the $p$-harmonic measure $ω_p ( B( ξ, t) \\cap \\partial \\mathbb{B}, 0, \\mathbb{B}) $ for small $t$, where $\\mathbb{B}$ is the unit ball in $\\mathbb{R}^n$, $ξ\\in \\partial \\mathbb{B}$ and $B(ξ, t)$ denotes the euclidean ball centered at $ξ$ of radius $t$. As a consequence and, under suitable geometrical restrictions on a domain $Ω\\subset \\mathbb{R}^n $, we identify the optimal decay exponent of $ω_p ( B( ξ, t) \\cap \\partial Ω, a, Ω)$ for small $t$, where $a \\in Ω$ and $ξ\\in \\partial Ω$. When restricted to the range $1 < p < n$ we provide new estimates complementing previous results of different authors in the unit ball, the unit disc or the upper half-space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12176",
  "author_total": 1,
  "authors": [
    {
      "name": "José González Llorente"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8ab5rqpbtxbft.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12176",
  "fulltext_url": null,
  "id": "8ab5rqpbtxbft",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12176",
  "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"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7212596986",
  "pdf_url": "https://arxiv.org/pdf/2609.12176",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8ab5rqpbtxbft.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2609.12176",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12176"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A note on p-harmonic measure",
  "title_text": "A note on p-harmonic measure",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/8ab5rqpbtxbft",
  "venue": "arXiv",
  "versions": []
}