{
  "abstract": "In this paper, we study integral operators \\begin{equation*} T_αf(x)=\\int_{\\mathbb{R}^{n}}K(x,y) f(y)dy, \\end{equation*} with kernels $K(x,y)= k_1( x- A_1y)...k_m( x-A_my),$ where $k_i(x)=\\frac{Ω_i(x)}{|x|^{n/q_i}}$ and $Ω_i: \\mathbb{R}^n\\to \\mathbb{R}$ are homogeneous functions of degree zero, satisfying a size and a Dini condition, $A_{i}$ are certain invertible matrices, and $\\frac n{q_1}+\\dots+\\frac n{q_m}=n-α,$ $0\\leq α<n.$ We obtain the $H^{p}_{w^p}(\\mathbb{R}^{n})-L^{q}_{w^q}(\\mathbb{R}^{n})$ boundedness of these operators, for a class of Muckenhoupt weights $w$, satisfying the condition \\begin{equation*} w(A_ix)\\leq cw(x), \\end{equation*} $a.e.x\\in\\mathbb{R} ^n $, $1\\leq i\\leq m$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.03567",
  "author_total": 3,
  "authors": [
    {
      "name": "Andrea L. Gallo"
    },
    {
      "name": "M. Silvina Riveros"
    },
    {
      "name": "Lucas A. Vallejos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/503xznr2r74w4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.03567",
  "fulltext_url": null,
  "id": "503xznr2r74w4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.03567",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7167593591",
  "pdf_url": "https://arxiv.org/pdf/2607.03567",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/503xznr2r74w4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2607.03567",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.03567"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Weighted $H^p-L^q$ boundedness of integral operators with rough kernels",
  "title_text": "Weighted H^p−L^q boundedness of integral operators with rough kernels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/503xznr2r74w4",
  "venue": "arXiv",
  "versions": []
}