A Note on the Maximal Functions on Weighted Harmonic AN Groups
A Note on the Maximal Functions on Weighted Harmonic AN Groups
摘要
In this paper, the authors point out that the methods used by Li(2004, 2005,2007) can be applied to study maximal functions on weighted harmonic AN groups.
参考文献14
-
1Anker, J. P., Damek, E. and Yacoub, C., Spherical analysis on harmonic AN groups, Ann. Scuola Norm. Super. Pisa. Cl. Sci., 23, 1996, 643-679.
-
2Chen, J. C. and Wang, S. L., On boundedness of Hardy-Littlewood maximal function operator on Rie- mannian manifolds, Chin. Ann. Math., Ser. B, 14, 1993, 69-76.
-
3Clerc, J. L. and Stein, E. M., LP-multipliers for noncompact symmetric spaces, Proc. Nat. Acad. Sci. USA, 71, 1974, 3911-3912.
-
4Coifman, R. and Weiss, G., Analyse harmonique non commutative sur certains espaces homogenes, Lecture Notes in Mathematics, vol. 242, Springer-Verlag, Berlin, 1971.
-
5Li, H. Q., Analyse sur les varietes cuspidales, Math. Ann., 326, 2003, 625-647.
-
6Li, H. Q., La fonction maximale de Hardy-Littlewood sur une classe d'espaces metriques mesurables, C. R. Math. Acad. Sci. Paris, 338(1), 2004, 31-34.
-
7Li, H. Q., La fonction maximale non centre sur les vavietes de type cuspidale, J. Funct. Anal., 229, 2005 155-183.
-
8Li, H. Q., Les fonctions maximales de Hardy-Littlewood pour des mesures sur les varietes cuspidales, J. Math. Pures Appl., 88, 2007, 261-275.
-
9Lohoue, N., Fonction maximale sur les varietes de Cartan-Hadamard, C. R. Math. Acad. Sci. Paris, 300, 1985, 213-216.
-
10Lohoue, N., Estimations de la fonction maximale de Hardy-Littlewood, Bull. Soc. Math. France, 135(1), 2007, 135-169.
-
1Li Cheng Department of Mathematics Lishui University Lishui, 323000P. R. China.W ^(1,p)(R^n)-BOUNDEDNESS FOR MAXIMAL FUNCTIONS[J].Analysis in Theory and Applications,2009,25(1):86-91.
-
2Ahmad AL-SALMAN.A Class of Maximal Functions with Oscillating Kernels[J].Acta Mathematica Sinica,English Series,2007,23(11):2003-2016.
-
3Jun Feng LI.The Estimates for Sharp Maximal Functions of Multilinear Strongly Singular Integral Operators[J].Acta Mathematica Sinica,English Series,2005,21(6):1495-1508.
-
4Liyuan Chen (Hangzhou University,china).ENDPOINT BOUNDS FOR AN ANALYTIC FAMILY OF MAXIMAL FUNCTIONS[J].Analysis in Theory and Applications,1994,10(4):56-71.
-
5王斯雷.WEIGHTED NORM INEQUALITIES FOR MAXIMAL FUNCTIONS[J].Chinese Science Bulletin,1984,29(11):1439-1441.
-
6Ahmad AL-SALMAN,Abdulla M.JARRAH.L^p Estimates of Rough Maximal Functions Along Surfaces with Applications[J].Acta Mathematica Sinica,English Series,2016,32(8):925-942.
-
7Noel Lohoué,朱赋鎏.THE WEAK ESTIMATION OF CERTAIN MAXIMAL FUNCTIONS ON THE SYMMETRIC SPACES[J].Acta Mathematica Scientia,1990,10(3):250-264.
-
8Zhu Xuexian (Peking University, China).WEIGHTED INEQUALITIES FOR CERTAIN MAXIMAL FUNCTIONS IN ORLICZ SPACES[J].Analysis in Theory and Applications,2001,17(4):65-76.
-
9杨大春.New characterizations of Hajlasz-Sobolev spaces on metric spaces[J].Science China Mathematics,2003,46(5):675-689. 被引量:5
-
10Guozhen Lu (Wright State University, USA).EMBEDDING THEOREMS ON CAMPANATO-MORREY SPACES FOR VECTOR FIELDS OF HoRMANDER TYPE[J].Analysis in Theory and Applications,1998,14(1):69-80. 被引量:3