Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications

被引：0

作者：

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

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

机构：

[1] RUDN Univ, SM Nikolskii Math Inst, Ul Miklukho Maklaya 6, Moscow 117198, Russia

[2] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

[3] Lomonosov Moscow State Univ, Kazakhstan Branch, Kazhymukan Str 11, Nur Sultan 010010, Kazakhstan

[4] Minist Educ & Sci Republ Kazakhstan, Inst Math & Math Modeling, Pushkina Str 125, Alma Ata 050010, Kazakhstan

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2021年 / 312卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

SUFFICIENT CONDITIONS; MAXIMAL OPERATOR; BOUNDEDNESS;

D O I：

10.1134/S0081543821010077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove new interpolation theorems for a sufficiently wide class of nonlinear operators in Morrey-type spaces. In particular, these theorems apply to Urysohn integral operators. We also obtain analogs of the Marcinkiewicz-Calderon and Stein-Weiss-Peetre interpolation theorems and establish a criterion of (p, q) quasiweak boundedness of the Urysohn operator.

引用

页码：124 / 149

页数：26

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