ON THE BOUNDEDNESS OF HAUSDORFF OPERATORS ON MORREY-TYPE SPACES

We give conditions ensuring the boundedness of Hausdor-operators on Morreytype spaces. Sharpness of the obtained results is studied, and classes of the Hausdor-operators are described for which the necessary and suffcient 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
Volume
8
Year
2017
Organizations
  • 1 Peoples Friendship Univ Russia RUDN Univ, Dept Math Anal & Theory Funct, 6 Miklukho Maklay St, Moscow 117198, Russia
  • 2 Steklov Math Inst, Dept Theory Funct, 8 Gubkin St, Moscow 119991, Russia
  • 3 Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
Keywords
Hausdor-operator; Morrey space
Date of creation
19.10.2018
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/7811/
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