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Eurasian Mathematical Journal, 2017, Volume 8, Number 2, Pages 97–104 (Mi emj258)  

This article is cited in 6 scientific papers (total in 6 papers)

Short communications

On the boundedness of Hausdorff operators on Morrey-type spaces

V. I. Burenkovab, E. Liflyandc

a Department of Mathematical Analysis and Theory of Functions, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklay St, Moscow, 117198 Russia
b Department of Theory of Functions, Steklov Mathematical Institute, 8 Gubkin St, Moscow, 119991 Russia
c Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
Full-text PDF (390 kB) Citations (6)
References:
Abstract: We give conditions ensuring the boundedness of Hausdorff operators on Morrey-type spaces. Sharpness of the obtained results is studied, and classes of the Hausdorff operators are described for which the necessary and sufficient conditions coincide.
Keywords and phrases: Hausdorff operator, Morrey space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.a03.21.008
The research of the rst author was supported by the Ministry of Education and Science of the Russian Federation (the Agreement number 02.a03.21.008).
Received: 31.08.2016
Bibliographic databases:
Document Type: Article
MSC: 47B38, 46E30, 42B10
Language: English
Citation: V. I. Burenkov, E. Liflyand, “On the boundedness of Hausdorff operators on Morrey-type spaces”, Eurasian Math. J., 8:2 (2017), 97–104
Citation in format AMSBIB
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\by V.~I.~Burenkov, E.~Liflyand
\paper On the boundedness of Hausdorff operators on Morrey-type spaces
\jour Eurasian Math. J.
\yr 2017
\vol 8
\issue 2
\pages 97--104
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Eurasian Mathematical Journal
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