SOME CLASSES OF OPERATORS IN GENERAL MORREY-TYPE SPACES

In this paper we continue the study of general Morrey spaces using a general rearrangement invariant space as a basic space, and a general ideal space as an outer space. Here we consider some classes of positively homogeneous monotone operators from general rearrangement invariant spaces to general Morrey spaces and obtain the estimates for their norms. This approach covers many operators of analysis, such as the embedding and symmetrization operators, Hardy-Littlewood maximal operators, generalized Riesz potentials, Hardy-type operators. © 2020. All Rights Reserved.

Authors
Goldman M.L. 1 , Bakhtigareeva E.G. 1 , Nursultanov E.D. 1
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Number of issue
4
Language
English
Pages
35-44
Status
Published
Link
External link
DOI
10.32523/2077-9879-2020-11-4-35-44
Volume
11
Year
2020
Organizations
  • 1 Mathematical Institute, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
classes of operators.; embedding; ideal spaces; local and global Morrey spaces; Morrey-type spaces; rearrangement invariant space; symmetrization
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72732/
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