Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (2): 141-146.

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A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups

  

  1. Department of Mathematics, Lishui Teacher's College, Lishui 323000, China; College of Mathematics and Information Science, Henan University, Kaifeng 475001, China
  • Received:2004-02-12 Online:2005-06-30 Published:2024-01-19
  • About author:LAN Sen-hua(1966-),male,native of Lishui,Zhejiang,an associate professor of Lishui Teacher's College,engages in harmonic analysis;LI Rui(1962-),female,native of Kaifeng,Henan,an associate professor of Henan University,engages in harmonic analysis and wavelet analysis.
  • Supported by:
     Supported by the Natural Science Foundation of Zhejiang Province(102005) Supported by the Natural Science Foundation of Henan University(XK03YBSX002);

Abstract: 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.

Key words: Vilenkin group, Herz space, vector-valued inequality

CLC Number: