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

被引:6
作者
Eroglu, Ahmet [1 ]
机构
[1] Nigde Univ, Dept Math, Nigde, Turkey
关键词
generalized Morrey space; oscillatory integral; commutator; BMO spaces; SINGULAR-INTEGRALS; HARMONIC-ANALYSIS; MAXIMAL OPERATOR;
D O I
10.1186/1687-2770-2013-70
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, it is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on generalized Morrey spaces M-rho,M-phi. The corresponding commutators generated by BMO functions are also considered.
引用
收藏
页数:12
相关论文
共 29 条
[11]   INTERIOR ESTIMATES IN MORREY SPACES FOR STRONG SOLUTIONS TO NONDIVERGENCE FORM EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [J].
DIFAZIO, G ;
RAGUSA, MA .
JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 112 (02) :241-256
[12]  
Ding Y., 1996, APPROX THEORY APPL, V12, P70
[13]  
Guliyev V., 2009, J. Inequal. Appl, DOI DOI 10.1155/2009/503948
[14]  
Guliyev V.S., 1994, INTEGRAL OPERATORS F
[15]   Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces [J].
Guliyev, Vagif S. ;
Aliyev, Seymur S. ;
Karaman, Turhan ;
Shukurov, Parviz S. .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (03) :327-355
[16]  
Guseinov AI., 1980, Introduction to the theory of nonlinear singular integral equations
[17]   Operators of harmonic analysis in weighted spaces with non-standard growth [J].
Kokilashvili, V. M. ;
Samko, S. G. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (01) :15-34
[18]  
Lu S., 2007, SINGULAR INTEGRALS R
[19]  
Lu S., 1992, Rev. Mat. Iber, V8, P201
[20]  
Lu SZ, 2005, INT J APPL MATH SCI, V2, P42