齐次群上Herz型Hardy空间的分解(英文) 被引量：4

Decompositions of Herz-type Hardy Spaces on Homogeneous Groups

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摘要本文建立了齐次群上Herz型Hardy空间的原子和分子分解特征．作为其应用,研究了中心δ-Calderon-Zygmund算子在这些Hardy空间上的有界性． The atomic and molecular decomposition characterizations of Herz-type Hardy spaces on homogeneous groups are established. As applications of these decompositions,studied.

作者江寅生唐林

机构地区新疆大学数学系北京大学数学科学学院

出处《数学进展》 CSCD 北大核心 2006年第3期366-374,共9页 Advances in Mathematics（China）

基金 Project 19871071 supported by NSFC. And supported by Science Foundation of Xinjiang University.

关键词齐次群 HARDY空间 HERZ空间中心原子 δ-C-Z算子 homogeneous group Hardy space Herz space central atom δ-C-Z operator

分类号 O174.2 [理学—基础数学]

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参考文献1

1Yin Sheng JIANG Department of Mathematics. Xinjiang University, Urumqi, 830046, P. R. China.New Hardy Spaces Associated with Herz Spaces and Beurling Algebras on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2002,18(4):661-670. 被引量：8

二级参考文献7

1Perry AE,Abell CJ.Scaling laws for pipe-flow turbulence[].Journal of Fluid Mechanics.1975
2Laufer J.The structure of turbulence in fully developed pipe flow[]..1954
3Lawn CJ.The determination of the rate of dissipation in turbulent pipe flow[].Journal of Fluid Mechanics.1971
4Zagarola MV,Smits AJ.Mean-flow scaling of turbulent pipe flow[].Journal of Fluid Mechanics.1998
5Patel VC.Calibration on the preston tube and limitations on its use in pressure gradients[].Journal of Fluid Mechanics.1965
6陆善镇,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
7陆善镇,杨大春.伴随Herz空间的Hardy型空间及其小波特征[J].北京师范大学学报（自然科学版）,1993,29(1):10-19. 被引量：7

共引文献7

1Yin Sheng JIANG,Ming Ju LIU,Lin TANG.Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2005,21(3):577-584.
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.
3JianYingNIE,Xing Guo Nie,GUO Wei LOU.The Martingale Hardy Type Inequalities for Dyadic Derivative and Integral[J].Acta Mathematica Sinica,English Series,2005,21(6):1465-1474. 被引量：6
4默会霞.COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS[J].Acta Mathematica Scientia,2010,30(3):897-906. 被引量：1
5江寅生.齐次群上新Hardy空间的分子特征及其应用[J].数学进展,2003,32(5):560-564. 被引量：1
6江寅生.Fefferman-Stein不等式和齐次群上Herz型Hardy空间的极大特征(英文)[J].数学进展,2004,33(2):183-194.
7刘明菊.Heisenberg群上一类算子的有界性[J].数学学报（中文版）,2004,47(4):629-640.

同被引文献11

1He Ping LIU Rui Qin MA.Littlewood Paley g-function on the Heisenberg Group[J].Acta Mathematica Sinica,English Series,2006,22(1):95-100. 被引量：6
2Stein E M, Taibleson M H. Weak type estimates for maximal operatorson certain H^P classes[J]. Rendioonti del Circolo Matematioo di Palermo, 1981,2(1):81-97.
3Christ M. Weak type endpoint bounds for Bochner-Riesz multipliers[J].Revista Matematica Iberoamericana, 1987,3(1) :25-31.
4Christ M. Weak type(1,1) bounds for rough operators[J].The Annals of Mathematics, 1988,128(1): 19-42.
5Christ M, Rubio D F. Weak type(1,1) bounds for rough operators Ⅱ[ J ]. Inventiones Mathematicae, 1988, 93(1) :225-237.
6Seeger A. Endpoint estimates for multiplier transformations on compact manifold [J]. Indiana University Mathematical Journal,1991,40(4) :471-533.
7Folland G, Stein E M. Hardy spaces on homogeneous groups[M]. Prinoeton:Princeton University Press,1982:1-61.
8Stein E M. Harmonic analysis: Real-Variable methods, orthogonality and oscillatory integrals[M]. Princeton: Princeton University Press, 1993:7-12.
9Shuichi S. Weak type estimates for some maximal operators on the Hardy spaces[J].Arkiv Fumatematik, 1995,33(3):377-384.
10胡国恩,陆善镇,杨大春.弱Herz空间的应用(英文)[J].数学进展,1997,26(5):417-428. 被引量：26

引证文献4

1曹勇辉,江寅生.海森堡群上的Littlewood-Paley g-函数的估计(英文)[J].新疆大学学报（自然科学版）,2007,24(3):253-259. 被引量：1
2曹勇辉,周疆.一类算子在哈代空间上的弱型估计[J].陕西师范大学学报（自然科学版）,2008,36(2):19-21.
3周疆,李朋.Heisenberg群上Lilltewood-Paley算子的有界性(英文)[J].新疆大学学报（自然科学版）,2014,31(2):149-154.
4Mingju LIU,Deming LI.Boundedness of some multipliers on stratified Lie groups[J].Frontiers of Mathematics in China,2015,10(1):137-146.

二级引证文献1

1李朋,周疆.广义Littlewood-Paley算子交换子在Heisenberg群上的估计[J].西北师范大学学报（自然科学版）,2014,50(4):21-24.

1赵凯.一类 Calderón-Zygmund 算子在 H^p 中的有界性[J].青岛大学学报（工程技术版）,1998,13(2):55-58.
2唐尧生.ω(t)型和(Log,ω(t))型Caldero′n-Zygmund算子的有界性[J].湖南大学学报（自然科学版）,1992,19(6):128-132.
3吴明龙,潘建勋.关于推广的ω－Calderon－Zygmund算子的性质[J].山东工业大学学报,1995,25(4):364-366.
4马超群.一个变形的Caldern-Zygmund算子的有界性[J].湖南大学学报（自然科学版）,1992,19(4):125-130.
5朱学贤.乘积空间上Calderón-Zygmund算子的H^p(0<p≤1)有界性[J].数学年刊（A辑）,1992,1(3):322-335.
6陆善镇,杨大春.Calderón-Zygmund算子在Hardy型空间HA^p上的有界性及其应用[J].科学通报,1991,36(16):1209-1211. 被引量：1
7朱学贤.R^n×R^m上Calderón-Zygmund算子的H^p(0<p≤1)有界性[J].数学进展,1992,21(2):185-196. 被引量：2
8徐华,束立生.交换子在加权Herz型Hardy空间上的有界性[J].数学研究,2009,42(4):389-396. 被引量：1
9颜卫人.C-Z 算子 L^P 加权估计[J].长沙水电师院学报（自然科学版）,1998,13(2):132-135.
10邱道文.一类Hardy型空间H^p(w)[J].广东工业大学学报,1999,16(2):13-19.

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