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

被引：6

作者：

Burenkov, V., I ^{[1
,2
]}

Nursultanov, E. D. ^{[3
,4
]}

机构：

[1] RUDN Univ, SM Nikolskii Inst Math, 6 Miklukho Maklay St, Moscow 117198, Russia

[2] Russian Acad Sci, VA Steklov Inst Math, 42 Vavilov St, Moscow 117966, Russia

[3] Lomonosov Moscow State Univ, Kazakhstan Branch, 11 Kazhimukan St, Astana 010010, Kazakhstan

[4] LN Gumilyov Eurasian Natl Univ, 2 Mirzoyan St, Astana 010008, Kazakhstan

来源：

EURASIAN MATHEMATICAL JOURNAL | 2020年 / 11卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Urysohn integral operators; interpolation theorems; general Morrey-type spaces; SUFFICIENT CONDITIONS; BOUNDEDNESS;

D O I：

10.32523/2077-9879-2020-11-4-87-94

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：87 / 94

页数：8

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