Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces

被引：0

作者：

Ahmet Eroglu

机构：

[1] Nigde University,Department of Mathematics

来源：

Boundary Value Problems | / 2013卷

关键词：

generalized Morrey space; oscillatory integral; commutator; BMO spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, it is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on generalized Morrey spaces Mp,φ. The corresponding commutators generated by BMO functions are also considered.

引用

共 50 条

[1] Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces
Eroglu, Ahmet
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[2] Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces
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[J]. JOURNAL OF FUNCTION SPACES, 2017, 2017
[3] Boundedness of commutators of fractional integral operators on mixed Morrey spaces
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[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (10) : 790 - 816
[4] BOUNDEDNESS AND COMPACTNESS OF COMMUTATORS FOR BILINEAR FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES
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[J]. ANALYSIS MATHEMATICA, 2021, 47 (01) : 81 - 103
[5] Boundedness and Compactness of Commutators for Bilinear Fractional Integral Operators on Morrey Spaces
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[J]. Analysis Mathematica, 2021, 47 : 81 - 103
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[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
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Turhan Karaman
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[J]. Integral Equations and Operator Theory, 2011, 71
[9] Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
Guliyev, Vagif S.
Aliyev, Seymur S.
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[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (03) : 327 - 355
[10] BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON GENERALIZED MORREY SPACES
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Alizadeh, Farida Ch.
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 37 (45): : 39 - 50

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