Strongly Singular Calderón-Zygmund Operator and Commutator on Morrey Type Spaces 被引量：13

Strongly Singular Calderón-Zygmund Operator and Commutator on Morrey Type Spaces

导出

摘要 In this paper, the author considers the boundedness of strongly singular Calderdn Zygmund operator and commutator generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space. Moreover, the boundedness of strongly singular Calderón- Zygmund operator on the predual of Morrey space is discussed. In this paper, the author considers the boundedness of strongly singular Calderdn Zygmund operator and commutator generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space. Moreover, the boundedness of strongly singular Calderón- Zygmund operator on the predual of Morrey space is discussed.

作者 Yan LIN

机构地区 School of Mathematical Sciences

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第11期2097-2110,共14页 数学学报（英文版）

基金 Supported by the National Natural Science Foundation of China(10571014) the Doctoral Programme Foundation of Institution of Higher Education of China(20040027001)

关键词 strongly singular Calderón Zygmund operator Morrey space Lipschitz function strongly singular Calderón Zygmund operator, Morrey space, Lipschitz function

分类号 O177 [理学—基础数学]

引文网络
相关文献

参考文献3

1YasuoKOMORI.Calderón—Zygmund Operators on the Predual of a Morrey Space[J].Acta Mathematica Sinica,English Series,2003,19(2):297-302. 被引量：5
2LIN Yan,LU Shanzhen.Toeplitz operators related to strongly singular Calderón-Zygmund operators[J].Science China Mathematics,2006,49(8):1048-1064. 被引量：8
3刘岚喆.INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2005,25(1):89-94. 被引量：14

二级参考文献9

1[1]Fefferman C,Stein E M.Hp spaces of several variables.Acta Math,1972,129:137-193
2[2]Coifman R.A real variable characterization of Hp.Studia Math,1974,51:269-274
3[3]Alvarez J,Milman M.Hp continuity properties of Calderón-Zygmund-type operators.J Math Anal Appl,1986,118:63-79
4[4]Krantz S,Li S.Boundedness and compactness of integral operators on spaces of homogeneous type and applications.J Math Anal Appl,2001,258:629-641
5[5]Qiu D.Some of integral operators on spaces of homogeneous type,Chinese Annual of Math (Ser.A)(in Chinese),2001,22:797-804
6[6]Lu S,Zhang P.Lipschitz estimates for generalized commutators of fractional integrals with rough kernel.Math Nachr,2003,252:70-85
7[7]Stein E M.Singular Integrals and Differentiability Properties of Functions.New Jersey:Princeton Univ Press,1970
8[8]Chanillo S.A note on commutators.Indiana Univ Math J,1982,31(1):7-16
9[9]Paluszy(n)ski M.Characterization of the Besov spaces via the commutator operator of Coifman,Rochberg and Weiss.Indiana Univ Math J,1995,44(1):1-17

共引文献23

1Yoshihiro SAWANO Hitoshi TANAKA.Morrey Spaces for Non-doubling Measures[J].Acta Mathematica Sinica,English Series,2005,21(6):1535-1544. 被引量：26
2徐景实.带非双倍测度的多重线性奇异积分与有界振动函数生成的交换子在Lebesgue空间上的有界性[J].中国科学（A辑）,2007,37(2):175-188. 被引量：2
3张明俊.多线性Littlewood-Paley交换子在广义Morrey空间上的有界性[J].广西工学院学报,2007,18(3):20-23.
4Eiichi NAKAI.A Generalization of Hardy Spaces H^p by Using Atoms[J].Acta Mathematica Sinica,English Series,2008,24(8):1243-1268. 被引量：5
5汪顶玉.加权Herz-Morrey空间上Littlewood-Paley g-函数交换子有界性的一个证明[J].皖西学院学报,2008,24(5):16-17.
6Jing-shi XU.Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures[J].Science China Mathematics,2007,50(3):361-376. 被引量：10
7Lingli Hu Dongxiang Chen.SOME ESTIMATES OF MAXIMAL COMMUTATORS FOR BOCHNER-RIESZ OPERATOR ON MORREY SPACES[J].Analysis in Theory and Applications,2010,26(1):76-83.
8陈冬香,吴丽丽.乘子算子及其交换子在Morrey空间上的有界性[J].数学学报（中文版）,2011,54(1):81-88.
9傅尊伟,陆善镇.单边Triebel-Lizorkin空间及其应用[J].中国科学：数学,2011,41(1):43-52. 被引量：4
10叶晓峰.奇异积分和位势积分交换子在极大Morrey空间上的有界性[J].数学学报（中文版）,2011,54(2):343-352.

同被引文献23

1刘岚喆.INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS[J].Acta Mathematica Scientia,2005,25(1):89-94. 被引量：14
2Yoshihiro SAWANO Hitoshi TANAKA.Morrey Spaces for Non-doubling Measures[J].Acta Mathematica Sinica,English Series,2005,21(6):1535-1544. 被引量：26
3Lubomiea SOFTOVA.Singular Integrals and Commutators in Generalized Morrey Spaces[J].Acta Mathematica Sinica,English Series,2006,22(3):757-766. 被引量：13
4Jun Feng LI,Shan Zhen LU.Strongly Singular Integral Operators on Weighted Hardy Space[J].Acta Mathematica Sinica,English Series,2006,22(3):767-772. 被引量：6
5GUO Yan,MENG Yan.Boundedness of Some Operators and Commutators in Morrey-Herz Spaces on Non-Homogeneous Spaces[J].Journal of Mathematical Research and Exposition,2008,28(2):371-382. 被引量：8
6Rulong Xie,Lisheng Shu.ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS[J].Analysis in Theory and Applications,2008,24(3):260-270. 被引量：6
7陆善镇,杨大春.The weighted Herz-type Hardy space and its applications[J].Science China Mathematics,1995,38(6):662-673. 被引量：71
8杨向征,陈冬香.Marcinkiewicz积分交换子在Herz型空间中的弱型估计[J].江西师范大学学报（自然科学版）,2009,33(1):28-31. 被引量：2
9刘玉青,陈冬香.Bochner-Riesz算子极大交换子在Herz型空间上的弱型估计[J].江西师范大学学报（自然科学版）,2009,33(1):32-36. 被引量：3
10陈艳萍,丁勇.广义Morrey 空间上带变量核的Littlewood-Paley 算子[J].数学物理学报（A辑）,2009,29(3):630-642. 被引量：7

引证文献13

1Yuqing Liu Dongxiang Chen.THE BOUNDEDNESS OF MAXIMAL BOCHNER-RIESZ OPERATOR AND MAXIMAL COMMUTATOR ON MORREY TYPE SPACES[J].Analysis in Theory and Applications,2008,24(4):321-329.
2韩平平,江寅生,周疆.强奇异积分交换子在加权Hardy型空间上的有界性[J].兰州大学学报（自然科学版）,2009,45(2):90-95. 被引量：1
3邓燕谊.齐型空间上奇异积分变换构成的交换子在Morrey空间中的有界性[J].湖南第一师范学院学报,2010,10(2):150-153.
4刁俊东,叶晓峰,陈跃辉.强奇异积分算子及其交换子在Hardy型空间上的有界性[J].华东交通大学学报,2010,27(2):86-90. 被引量：1
5胡伶俐,陈冬香.Bochner-Riesz算子极大交换子在Morrey型空间的有界性[J].江西师范大学学报（自然科学版）,2010,34(4):414-416. 被引量：6
6林燕.Calderón-Zygmund型算子及其交换子的sharp极大函数估计[J].数学物理学报（A辑）,2011,31(1):206-215. 被引量：6
7席芳,赵凯,姜诺,张红俊,于湖波.非双倍测度下强奇异积分算子的有界性[J].青岛大学学报（自然科学版）,2013,26(1):7-10.
8姚红超,朱月萍.带变量核的Littlewood-Paley算子与Besov函数生成的交换子在广义Morrey空间上的有界性[J].南京大学学报（数学半年刊）,2013,30(1):75-86. 被引量：1
9Yan LIN,Guo Ming ZHANG.Weighted Estimates for Commutators of Strongly Singular Calderón–Zygmund Operators[J].Acta Mathematica Sinica,English Series,2016,32(11):1297-1311. 被引量：5
10林燕,韩妍妍.多线性强奇异Calderón-Zygmund算子的多线性迭代交换子的Sharp极大和加权估计[J].数学年刊（A辑）,2019,40(4):399-416. 被引量：3

二级引证文献22

1吴丽丽,陈冬香.关于Marcinkiewicz积分交换子在Morrey空间上的有界性的一点注记[J].江西师范大学学报（自然科学版）,2010,34(6):582-585. 被引量：1
2孙杰.广义Calderón-Zygmund算子交换子在加权Hardy型空间的有界性[J].吉林大学学报（理学版）,2011,49(6):979-984.
3曾志强,陈冬香.具有H(m)-型核的奇异积分算子交换子的双权Lipschitz估计[J].江西师范大学学报（自然科学版）,2011,35(6):601-604. 被引量：4
4叶晓峰,胡媛媛.非齐次空间上几类积分算子的有界性[J].华东交通大学学报,2012,29(4):12-18. 被引量：1
5赵凯,郝春燕,王磊.Hardy-Lorentz空间上交换子的有界性[J].兰州大学学报（自然科学版）,2012,48(6):119-124.
6陈冬香,熊鹏,郑雄军.与Calderón-Zygmund型算子相关的Toeplitz型算子[J].浙江大学学报（理学版）,2013,40(3):245-248.
7熊鹏,郑雄军.一类Calderón-Zygmund型算子的交换子加权不等式[J].江西师范大学学报（自然科学版）,2013,37(2):187-190.
8周疆,王定怀.非倍测度下参数型Marcinkiewicz积分多线性交换子的一些估计[J].江西师范大学学报（自然科学版）,2014,38(2):148-152.
9赵蕾,邓宇龙,龙顺潮.Bochner-Riesz极大多线性交换子在非齐型Morrey空间上的有界性[J].湘潭大学自然科学学报,2014,36(4):1-4.
10王晴,朱月萍.分数次积分算子的交换子在变指数函数空间上的有界性[J].南通大学学报（自然科学版）,2015,14(1):71-79. 被引量：1

1Yan Lin,Shanzhen Lu.MULTILINEAR CALDERóN-ZYGMUND OPERATOR ON MORREY TYPE SPACES——In Memory of Professor Yongsheng Sun[J].Analysis in Theory and Applications,2006,22(4):387-400. 被引量：3
2Xiaoli Chen,Jie Sun,Dongxiang Chen.SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERóN-ZYGMUND OPERATORS[J].Analysis in Theory and Applications,2009,25(2):175-181. 被引量：2
3Guo Qiang PENG.A Weighted Weak Type Endpoint Estimate for the Multilinear Calderón-Zygmund Operators and Its Applications[J].Journal of Mathematical Research and Exposition,2010,30(2):329-337.
4Zhuhong Xuan,Lisheng Shu.Boundedness for Commutators of Calder o′n-Zygmund Operator on Morrey Spaces with Variable Exponent[J].Analysis in Theory and Applications,2013,29(2):128-134. 被引量：2
5Chol RI,Zhenqiu ZHANG.Boundedness of θ-type Calderon-Zygmund operators on non-homogeneous metric measure space[J].Frontiers of Mathematics in China,2016,11(1):141-153. 被引量：2
6QIN XI-MEI XIE RU-LONG.Weighted Endpoint Estimates for Multilinear θ-type Calderón-Zygmund Operator[J].Communications in Mathematical Research,2009,25(5):461-471.
7Dachun YANG,Dongyong YANG.Boundedness of Calderon-Zygmund operators with finite non-doubling measures[J].Frontiers of Mathematics in China,2013,8(4):961-971. 被引量：1
8王立新,张锦豪.C^n中的Zygmund－Calderon不等式[J].数学年刊（A辑）,1994,1(1):24-28.
9Fette.,R 王忠玉.数学家和奇异积分大师AlbertoP.Calderon(1920-98)[J].数学译林,2000,19(1):63-63.
10杨占英,杨奇祥.A NOTE ON CONVOLUTION-TYPE CALDERóN-ZYGMUND OPERATORS[J].Acta Mathematica Scientia,2009,29(5):1341-1350. 被引量：1

Acta Mathematica Sinica,English Series

2007年第11期

浏览历史

内容加载中请稍等...