奇异积分交换子在变量Lebesgue空间中的有界性
The Boundedness of Commutators Generated by Singular Integral Operators in Weighted Lebesgue Spaces with Variable Exponent
摘要
本文讨论了由奇异积分算子与BMO函数生成的交换子在加权变系数Lebesgue空间中的有界性。
In this paper, the author obtained the boundedness of commutators generated by singular integral operators and BMO functions on weighted Lebesgue spaces with variable exponent.
基金
新疆维吾尔自治区高校科研计划基金项目(XJEDU2008S58)
伊犁师范学院科研基金项目
参考文献13
-
1D.Cruz-Uribe,A.Fiorenza,C.J.Neugebauer.The maximal function on variable L^p spaces[J].Ann.Acad.Sci.Fenn.Math.,2003,28:223-238.
-
2L.Diening.Maximal function on generalized Lebesgue spaces L^p(·)[J].Math.Inequal.Appl.,2004(7):245-253.
-
3V.Kokilashvili,S.Samko.Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent[J].Georgian Math.J.,2003,10(1):145-156.
-
4D.E.Edmunds,J.Lang,A.Nekvinda.On L^p(·) norms[J].R.Soc.Lond.Proc.Ser.A Math.Phys.Eng.Sci.,1999,455:219-225.
-
5S.Janson.Mean oscillation and commutators of singular integral operators[J].Ark.Mat.,1978,16:263-270.
-
6J.L.Journ'e.Calderon-Zygmund Operators,Pseudo-Differential Operators and the Cauchy Integral of Calderon[M].Lecture Notes in Mathematics,994,Springer-Verlag,Berlin,1983.
-
7O.Kov'acik and J.Rakosn'ik.On spacesand L^p(x) and W^k,p(x)[J].CzechoslovakMath.J.,1991,41(116):592-618.
-
8L.Maligranda.Orlicz spaces and interpolation[M].Seminars in Mathematics 5,Univ.Estadual de Campinas,Campinas SP,Brazil,1989.
-
9J.Musielak.Orlicz Spaces and Modular Spaces,Lecture Notes in Mathematics[M].Berlin:Springer-Verlag,1983:1034.
-
10H.Nakano.Modulared Semi-Ordered Linear Spaces[M].Tokyo:Maruzen Co.,Ltd.,1950.