INTERPOLATION THEOREMS FOR NONLINEAR URYSOHN INTEGRAL OPERATORS IN GENERAL MORREY-TYPE SPACES

In this paper, we present new interpolation theorems for nonlinear Urysohn integral operators. In particular, interpolation theorems of Marcinkiewicz-Calderon type and Stein-Weiss-Peetre type are obtained. © 2020. All Rights Reserved.

Authors
Burenkov V.I. 1 , Nursultanov E.D. 2, 3 , De Cristoforis M.L.
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Number of issue
4
Language
English
Pages
87-94
Status
Published
Link
External link
DOI
10.32523/2077-9879-2020-11-4-87-94
Volume
11
Year
2020
Organizations
  • 1 S.M. Nikol'skii Institute of Mathematics RUDN University, 6 Miklukho Maklay St, Moscow, 117198, Russian Federation
  • 2 Institute of Mathematics Russian Academy of Sciences, 42 Vavilov St, Moscow, 117966, Russian Federation
  • 3 Lomonosov Moscow State University, Kazakhstan branch, 11 Kazhimukan St, Astana, 010010, Kazakhstan
  • 4 Eurasian National University, 2 Mirzoyan St, Astana, 010008, Kazakhstan
Keywords
general Morrey-type spaces.; interpolation theorems; Urysohn integral operators
Date of creation
20.04.2021
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/72751/
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