{
  "abstract": "In this paper, we obtain new criteria for the boundedness, the compactness and the essential norm of composition operators acting from the space H∞ of bounded harmonic mappings into weighted harmonic Bloch spaces BHα, 0<α<∞, on the unit disk. These criteria are expressed in terms of the asymptotic behavior of the sequence {∥Cψqk∥BHα}k≥0, where qk(z)=zk+z¯k, and of a family of test functions Fa,n normalized by Fa,n(a)=2. We further relate these quantities to an explicit function of the symbol ψ, which yields symbol-based characterizations of boundedness and compactness, and two-sided estimates with absolute constants for the essential norm of Cψ:H∞→BHα.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia",
    "Department of Mathematics, Northern Border University, Arar 73222, Saudi Arabia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Mahmoud Ali Bakhit",
      "orcid": "0000-0002-5222-1521"
    },
    {
      "affs": [
        1
      ],
      "name": "Munirah Aljuaid",
      "orcid": "0000-0002-5748-9738"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/76z7wr5tj48b0.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100764",
  "fulltext_url": null,
  "id": "76z7wr5tj48b0",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/764",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7204159729",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/76z7wr5tj48b0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100764",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/764"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Holomorphic and Operator Theory",
      "subfield": "general"
    }
  ],
  "title": "New Criteria for Composition Operators into Weighted Harmonic Bloch Spaces",
  "title_text": "New Criteria for Composition Operators into Weighted Harmonic Bloch Spaces",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/76z7wr5tj48b0",
  "venue": "Axioms",
  "versions": []
}