This article is cited in 6 papers

Short communications

On the boundedness of Hausdorff operators on Morrey-type spaces

V. I. Burenkov^ab, E. Liflyand<sup>c

a</sup> 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.

MSC: 47B38, 46E30, 42B10

Received: 31.08.2016

Language: English

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