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Matematicheskie Zametki, 2023, Volume 114, Issue 5, paper published in the English version journal (Mi mzm13977)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Hardy Factorization in Terms of Multilinear Fractional Operator

S. Zheng, D. Wang, R. Zhu

School of Mathematics and Statistics, Anhui Normal University, Wuhu, China
Citations (1)
Abstract: We establish a factorization theorem for the Hardy space $H^p(\mathbb{R}^n)$ $\bigl(\frac{n}{n+1}<p <1\bigr)$ in terms of a multilinear fractional integral operator. As an application, a characterization of Lipschitz spaces via the boundedness of commutators of the multilinear fractional integral operator is obtained.
Keywords: Hardy space, Lipschitz space, boundedness, factorization, fractional integral operator.
Funding agency Grant number
National Natural Science Foundation of China 12101010
Natural Science Foundation of Anhui Province 2108085QA19
Key Scientific Project of Higher Education Institutions in Anhui Province 2023AH050145
This work was supported by NSF of China (No. 12101010), NSF of China of Anhui Province (No. 2108085QA19), and Key Scientific Project of Higher Education Institutions in Anhui Province (No. 2023AH050145).
Received: 08.04.2023
Revised: 08.04.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 5, Pages 1052–1059
DOI: https://doi.org/10.1134/S0001434623110366
Bibliographic databases:
Document Type: Article
MSC: 42B20, 47B07
Language: English
Citation: S. Zheng, D. Wang, R. Zhu, “Hardy Factorization in Terms of Multilinear Fractional Operator”, Math. Notes, 114:5 (2023), 1052–1059
Citation in format AMSBIB
\Bibitem{ZheWanZhu23}
\by S.~Zheng, D.~Wang, R.~Zhu
\paper Hardy Factorization in Terms of Multilinear Fractional Operator
\jour Math. Notes
\yr 2023
\vol 114
\issue 5
\pages 1052--1059
\mathnet{http://mi.mathnet.ru/mzm13977}
\crossref{https://doi.org/10.1134/S0001434623110366}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187890905}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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