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Matematicheskie Zametki, 2019, Volume 106, Issue 1, paper published in the English version journal (Mi mzm12154)  
This article is cited in 13 scientific papers (total in 13 papers)

Papers published in the English version of the journal

Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces

N. M. Chuonga, D. V. Duongb, K. H. Dungc

a Institute of Mathematics, Vietnamese Academy of Science and Technology, Hanoi, 100000 Vietnam
b School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, 620000 Vietnam
c School of Mathematics, University of Transport and Communications, Hanoi, 100000 Vietnam
Citations (13)
Abstract: In this paper, we prove the boundedness of matrix Hausdorff operators and rough Hausdorff operators in the two weighted Herz-type Hardy spaces associated with both power weights and Muckenhoupt weights. By applying the fact that the standard infinite atomic decomposition norm on two weighted Herz-type Hardy spaces is equivalent to the finite atomic norm on some dense subspaces of them, we generalize some previous known results due to Chen et al. [7] and Ruan, Fan [31].
Keywords: Hausdorff operator, Herz space, Herz-type Hardy space, $A_p$ weight, atom.
Funding agency Grant number
National Foundation for Science and Technology Development Vietnam 101.02-2014.51
This research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant 101.02-2014.51.
Received: 16.08.2018
Revised: 20.12.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 20–37
DOI: https://doi.org/10.1134/S0001434619070034
Bibliographic databases:
Document Type: Article
Language: English
Citation: N. M. Chuong, D. V. Duong, K. H. Dung, “Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces”, Math. Notes, 106:1 (2019), 20–37
Citation in format AMSBIB
\Bibitem{NguDuoDun19}
\by N.~M.~Chuong, D.~V.~Duong, K.~H.~Dung
\paper Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces
\jour Math. Notes
\yr 2019
\vol 106
\issue 1
\pages 20--37
\mathnet{http://mi.mathnet.ru/mzm12154}
\crossref{https://doi.org/10.1134/S0001434619070034}
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\elib{https://elibrary.ru/item.asp?id=42284326}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071637529}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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