On the boundedness of Hausdorffoperators on Morrey-type spaces

We give conditions ensuring the boundedness of Hausdorffoperators on Morreytype spaces. Sharpness of the obtained results is studied, and classes of the Hausdorffoperators are described for which the necessary and sufficient conditions coincide.

Authors
Burenkov V.I. 1, 2 , Liflyand E.3
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Number of issue
2
Language
English
Pages
97-104
Status
Published
Link
External link
Volume
8
Year
2017
Organizations
  • 1 Department of Mathematical Analysis and Theory of Functions, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 2 Department of Theory of Functions, Steklov Mathematical Institute, 8 Gubkin St, Moscow, 119991, Russian Federation
  • 3 Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
Keywords
Hausdorffoperator; Morrey space
Date of creation
19.10.2018
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/6103/
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