A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups
A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups
摘要
In this paper, by applying a vector-valued inequality we obtained a decomposition theorem on Herz spaces over locally compact Vilenkin groups with new range 0<q≤1.
基金
Supported by the Natural Science Foundation of Zhejiang Province(102005)Supported by the Natural Science Foundation of Henan University(XK03YBSX002)
参考文献8
-
1ONNEWEER C W. Generalized Lipschitz Spaces and Herz Spaces on Certain Totally Disconnected Groups[C].New York: Spring-Verlag, 1981, 106-121.
-
2LU Shan-zhen, YANG Da-chun. The decomposition of Herz spaces on local fields and its applications[J]. J of Math Anal and Appl, 1995, 196(1): 296-313.
-
3LU Shan-zhen, YANG Da-chun. Some new Hardy spaces on locally compact Vilenkin groups[J]. Colloq Math, 1993, LXV(1): 117-138.
-
4LU Shan-zhen, YANG Da-chun. Some non-homogeneous Hardy spaces on locally compact Vilenkin groups[J]. Colloq Math, 1995, LXIX(1): 1-17.
-
5Akihiko MIYACHI.Remarks on Herz-Type Hardy Spaces Dedicated to Professor Kozo Yabuta on the occasion of his 60th birthday[J].Acta Mathematica Sinica,English Series,2001,17(2):339-360. 被引量:2
-
6TAIBLESON M H. Fourier Analysis on Local Fields[M]. Princeton: Princeton Univ Press, 1975.
-
7LU Shan-zhen, LIU Lan-zhe. Inequalities for vector-valued maximal functions over locally compact Vilenkin group[J]. J Korean Math Soc, 2002, 39(2): 397-410.
-
8STROMEBERG J O, TORCHWSKY A. Weighted Hardy Spaces[M]. New York: Spring-Verlag, 1989.
二级参考文献22
-
1陆善镇,Sara,F.幂权Beurling代数上的次线性算子[J].北京师范大学学报(自然科学版),1994,30(2):170-175. 被引量:1
-
2杨大春.Hardy型空间HK_p(R^n)的实变特征[J].数学进展,1995,24(1):63-73. 被引量:9
-
3胡国恩,陆善镇,杨大春.弱Herz-型空间(英文)[J].北京师范大学学报(自然科学版),1997,33(1):27-34. 被引量:8
-
4谌稳固,杨大春,周祖胜.Singular Integrals and Commutators in Parabolic Herz Spaces and Their Applications[J].Northeastern Mathematical Journal.1998(04)
-
5Shanzhen Lu,Dachun Yang.Herz-type Sobolev and Bessel potential spaces and their applications[J].Science in China Series A: Mathematics.1997(2)
-
6Miyachi,A.H~p Spaces Over Open Subsets of R~n[].Studia Mathematica.1990
-
7Miyachi,A.Hardy spaces estimates for the product of singular integrals[].Canadian Journal of Mathematics.2000
-
8Str?mberg,J.O.,Torchinski,A. Weighted Hardy spaces . 1989
-
9Uchiyama,A.On the radial maximal function of distributions[].Pacific Journal of Mathematics.1986
-
10Lu S Z,Yang D C.The Littlewood-Paley function and ?-transform characterizations of a new Hardy space HK2 associated with the Herz space[].Studia Mathematica.1992
-
1WU JIANG-LONG,LIU QING-GUO.Boundedness of Some Singular Integral Operators on Morrey-Herz Spaces over Locally Compact Vilenkin Groups[J].Communications in Mathematical Research,2011,27(2):147-155.
-
2WANGYue-shan,ZHUXiu-ge.Boundedness of Operators in Morrey Spaces over Vilenkin Groups[J].Chinese Quarterly Journal of Mathematics,2003,18(3):315-319. 被引量:2
-
3J.C.FERRANDO,S.MOLL.C_c(X)Spaces with X Locally Compact[J].Acta Mathematica Sinica,English Series,2007,23(9):1593-1600.
-
4Tang Lin (1) , Yang Dachun (1).BOUNDEDNESS OF ROUGH SINGULAR INTEGRALS AND THEIR COMMUTATORS ON INHOMOGENEOUS HERZ SPACES[J].Analysis in Theory and Applications,1999,15(2):36-54. 被引量:2
-
5TaoGuiping.BOUNDEDNESS OF MULTILINEAR OPERATORS ON WEIGHTED HERZ TYPE SPACES[J].Analysis in Theory and Applications,2005,21(1):73-89.
-
6Can Qin TANG,Qing Guo LI,Bo Lin MA.Bilinear Operators on Herz-type Hardy Spaces on Locally Compact Vilenkin Groups[J].Acta Mathematica Sinica,English Series,2005,21(3):599-612. 被引量:1
-
7Jianglong Wu.BOUNDEDNESS OF COMMUTATORS ON HOMOGENEOUS MORREY-HERZ SPACES OVER LOCALLY COMPACT VILENKIN GROUPS[J].Analysis in Theory and Applications,2009,25(3):283-296. 被引量:3
-
8Lan Senhua (Lishui Teachers College, China).BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS IN HERZ-TYPE SPACES ON LOCALLY COMPACT VILENKIN GROUPS[J].Approximation Theory and Its Applications,2002,18(3):15-25. 被引量:5
-
9范大山,杨大春.Herz-type Hardy spaces on Vilenkin groups and their applications[J].Science China Mathematics,2000,43(5):481-494. 被引量:4
-
10彭茹,欧阳才衡.DECOMPOSITION THEOREMS FOR Q_p SPACES WITH SMALL SCALE p ON THE UNIT BALL OF C^n[J].Acta Mathematica Scientia,2010,30(5):1419-1428. 被引量:1