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A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups

A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups
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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.
作者 LANSen-hua LIRui
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第2期141-146,共6页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of Zhejiang Province(102005)Supported by the Natural Science Foundation of Henan University(XK03YBSX002)
关键词 Vilenkin group Herz space vector-valued inequality 分解定理 赫兹空间 局部紧维莱金群 矢量赋值不等式
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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

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