GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHRODINGER OPERATORS AND LOCAL CAMPANATO FUNCTIONS

被引：3
作者：
Gurbuz, Ferit [1 ]
机构：
[1] Hakkari Univ, Dept Math Educ, Hakkari, Turkey
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 05期
关键词：
Marcinkiewicz operator; rough kernel; Schrodinger operator; generalized local Morrey space; multilinear commutator;
D O I：
10.11948/2018.1369
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let L = -Delta + V (x) be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative potential V (x) belongs to the reverse Holder class. In this paper, we consider the behavior of multilinear commutators of Marcinkiewicz integrals with rough kernel associated with Schrodinger operators on generalized local Morrey spaces.
引用
收藏
页码：1369 / 1384
页数：16
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  • [22] Boundedness of high order commutators of Marcinkiewicz integrals associated with Schrodinger operators
    Wang, Hui
    Ren, Bijun
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4295 - 4306
  • [23] MULTILINEAR FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON MODIFIED MORREY SPACES
    Gadjieva, Elmira A.
    Hasanov, Amil A.
    Safarov, Zaman V.
    [J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2016, 42 (01): : 81 - 92
  • [24] BOUNDEDNESS OF THE MULTILINEAR FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON MORREY SPACES
    Guliyev, Emin V.
    Hasanov, Amil A.
    Safarov, Zaman V.
    [J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (01): : 44 - 55
  • [25] Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces
    Akbulut, Ali
    Hasanov, Amil
    [J]. OPEN MATHEMATICS, 2016, 14 : 1023 - 1038
  • [26] Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces
    Ali Akbulut
    Vugar H Hamzayev
    Zaman V Safarov
    [J]. Journal of Inequalities and Applications, 2015
  • [27] Rough Fractional Multilinear Integral Operators on Generalized Weighted Morrey Spaces
    Akbulut, A.
    Hamzayev, V. H.
    Safarov, Z. V.
    [J]. AZERBAIJAN JOURNAL OF MATHEMATICS, 2016, 6 (02): : 128 - 142
  • [28] Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces
    Akbulut, Ali
    Hamzayev, Vugar H
    Safarov, Zaman V
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
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    Guliyev, Vagif S.
    Akbulut, Ali
    [J]. BOUNDARY VALUE PROBLEMS, 2018,
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