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.
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页码：124 / 149
页数：26
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