Some notes on a conjecture of Zygmund

Some notes on a conjecture of Zygmund

下载PDF

导出

摘要 In this paper, some classes of differentiation basis are investigated and several positive answers to a conjecture of Zygmund on differentiation of integrals are presented. In this paper, some classes of differentiation basis are investigated and several positive answers to a conjecture of Zygmund on differentiation of integrals are presented.

作者 CHEN Jie-cheng ZHANG Chun-jie

机构地区 Dept. of Math.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期213-218,共6页 高校应用数学学报（英文版）（B辑）

基金 the National Natural Science Foundation of China(10571156) RSDP(20030335019) the Natural Science Foundation of Zhejiang Province(RC97017) supported partially by the National Natural Science Foundation of China(10601046).

关键词 Zygmund＇s conjecture differentiation of integrals maximal function. Zygmund＇s conjecture, differentiation of integrals, maximal function.

分类号 O174 [理学—基础数学]

引文网络
相关文献

参考文献12

1Cordoba A. Maximal functions, covering lemmas and Fourier multipliers, Proc Sympos Pure Math,1979, 35: 19-49.
2Cordoba A, Fefferman R. A geometric proof of the strong maximal theorem, Ann Math, 1975, 102: 95-100.
3Chen J C, Zhu X R. A note on the strong maximal operator on R^n, Studia Math, 2004,165: 291-294.
4Fefferman R. Strong differentiation with respect to measures, Amer J Math,1981, 103: 33-40.
5Fefferman R, Pipher J. A covering lemma for rectangles in R^n, Proc Amer Math Soc, 2005, 133: 3235-3241.
6Guzman M. Differentiation of Integrals in R^n, Lecture Notes in Math, 481, Berlin: Springer- Verlag, 1975.
7Jessen B, Marcinkiewicz J, Zygmund A. Note on the differentiability of multiple integrals, Fund Math, 1935, 25: 217-234.
8Long R L, Shen Z W. A note on a covering lemma of A. Cordoba and R. Fefferman,Chinese Ann Math, 1988, 9: 283-291.
9Soria F. Examples and counterexamples to a conjecture in the theory of differentiation of integrals, Ann Math,1986, 123: 1-9.
10Stein E M. Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals,Princeton: Princeton University Press, 1993.

1Jing Shi XU,Da Chun YANG.Herz-type Triebel-Lizorkin Spaces, I[J].Acta Mathematica Sinica,English Series,2005,21(3):643-654. 被引量：4
2Yinsheng Jiang,Lin Tang.MAXIMAL CHARACTERIZATIONS OF HERZ TYPE HARDY SPACES ON HOMOGENEOUS GROUPS[J].Analysis in Theory and Applications,2005,21(4):301-310.
3Feng Ping YAO Yong Yong CAI.L^q Interior Estimates of the Gradient for Weak Solutions of Quasilinear Elliptic Equations[J].Acta Mathematica Sinica,English Series,2007,23(12):2225-2234.
4张仁忠.最小最大函数的最小投影求法[J].通化师范学院学报,1997,18(6):22-24.
5濮定国,邵宇芬.乘子方法中的参数选择[J].应用数学与计算数学学报,2006,20(1):68-74. 被引量：1
6David E.EDMUNDS,Alberto FIORENZA,Alexander MESKHI.On a Measure of Non-compactness for Some Classical Operators[J].Acta Mathematica Sinica,English Series,2006,22(6):1847-1862.
7郭占宽.关于一个新定义的最大函数的加权赋范不等式[J].内蒙古大学学报（自然科学版）,1994,25(2):139-143.
8杨晓鸣.Poisson－Hermite积分最大算子的弱型不等式[J].杭州大学学报（自然科学版）,1996,23(2):122-126.

Applied Mathematics(A Journal of Chinese Universities)

2008年第2期

浏览历史

内容加载中请稍等...

Some notes on a conjecture of Zygmund

参考文献12

相关作者

相关机构

相关主题

浏览历史