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Eurasian Mathematical Journal, 2017, Volume 8, Number 2, Pages 97–104
(Mi emj258)
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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
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.
Received: 31.08.2016
Citation:
V. I. Burenkov, E. Liflyand, “On the boundedness of Hausdorff operators on Morrey-type spaces”, Eurasian Math. J., 8:2 (2017), 97–104
Linking options:
https://www.mathnet.ru/eng/emj258 https://www.mathnet.ru/eng/emj/v8/i2/p97
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Abstract page: | 436 | Full-text PDF : | 178 | References: | 52 |
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