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.

Авторы
Burenkov V.I. 1 , Nursultanov E.D. 2, 3 , De Cristoforis M.L.
Журнал
Eurasian Mathematical Journal
Издательство
Eurasian Mathematical Journal
Номер выпуска
4
Язык
Английский
Страницы
87-94
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.32523/2077-9879-2020-11-4-87-94
Том
11
Год
2020
Организации
  • 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
Ключевые слова
general Morrey-type spaces.; interpolation theorems; Urysohn integral operators
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