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
收藏
页码：87 / 94
页数：8
相关论文
共 26 条
  • [1] Aubakirov T, 2010, EURASIAN MATH J, V1, P8
  • [2] [Аубакиров Тойбек Уатаевич Aubakirov Toibek Uataevich], 2006, [Успехи математических наук, Russian Mathematical Surveys, Uspekhi matematicheskikh nauk], V61, P181, DOI 10.4213/rm5519
  • [3] Blasco O., 1999, Ann. Scuola Norm. Sup. Pisa Cl. Sci., V4, P31
  • [4] [Буренков B.И. Burenkov V.I.], 2006, [Доклады Академии наук, Doklady Akademii nauk], V409, P443
  • [5] Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries
    Burenkov, V. I.
    Chigambayeva, D. K.
    Nursultanov, E. D.
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (01) : 87 - 108
  • [6] MARCINKIEWICZ-TYPE INTERPOLATION THEOREM AND ESTIMATES FOR CONVOLUTIONS FOR MORREY-TYPE SPACES
    Burenkov, V., I
    Chigambayeva, D. K.
    Nursultanov, E. D.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2018, 9 (02): : 82 - 88
  • [7] Burenkov VI, 2013, EURASIAN MATH J, V4, P46
  • [8] Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations
    Burenkov, V. I.
    Nursultanov, E. D.
    Chigambayeva, D. K.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 284 (01) : 97 - 128
  • [9] Description of Interpolation Spaces for Local Morrey-Type Spaces
    Burenkov, V. I.
    Nursultanov, E. D.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 269 (01) : 46 - 56
  • [10] BURENKOV V. I., 2003, ACAD SCI DOKL MATH, V391, P591
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