{
  "abstract": "We consider the space $\\mathcal{D}'^E_L(U)$ of all distributions on the open set $U$ whose wave front set measured with respect to a Banach space $E$ lies in a closed conic subset $L$ of $U\\times(\\mathbb{R}^n\\backslash\\{0\\})$. The Banach space $E$ only satisfies mild technical assumptions. We show that the pullback by a diffeomorphism $f:O\\rightarrow U$ is a topological isomorphism $f^*:\\mathcal{D}'^E_L(U)\\rightarrow\\mathcal{D}'^E_{f^*L}(O)$. In the case when $E$ is the $L^p$-Sobolev space $W^{r,p}(\\mathbb{R}^n)$ of order $r\\in\\mathbb{R}$, we study the pullback by a smooth map $f:O\\rightarrow U$ of constant rank.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08741",
  "author_total": 3,
  "authors": [
    {
      "name": "Stevan Pilipović"
    },
    {
      "name": "Bojan Prangoski"
    },
    {
      "name": "Stefan Tutić"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dgepyg4ydeag6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08741",
  "fulltext_url": null,
  "id": "dgepyg4ydeag6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08741",
  "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.FA"
    ],
    [
      "openalex",
      "2610|Mathematical and Theoretical Analysis"
    ]
  ],
  "openalex": "W7212069143",
  "pdf_url": "https://arxiv.org/pdf/2609.08741",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dgepyg4ydeag6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.08741",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08741"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On the pullback on spaces of distributions with prescribed microregularity with respect to a general Banach space",
  "title_text": "On the pullback on spaces of distributions with prescribed microregularity with respect to a general Banach space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/dgepyg4ydeag6",
  "venue": "arXiv",
  "versions": []
}