LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 129-141.

LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

周广才¹, 郑维行²

1. Dept. of Math. & Mech., Southeast University, Nanjing 210018, China;
2. Dept. of Math., Nanjing University, Nanjing 210008, China

收稿日期:1994-04-07 修回日期:1994-10-27 出版日期:1996-06-25 发布日期:1996-06-25

LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

Zhou Guangcai¹, Zheng Weixing²

1. Dept. of Math. & Mech., Southeast University, Nanjing 210018, China;
2. Dept. of Math., Nanjing University, Nanjing 210008, China

Received:1994-04-07 Revised:1994-10-27 Online:1996-06-25 Published:1996-06-25

摘要/Abstract

摘要： Let G be a Heisenberg group over local field K. In the paper we give some local maximal functions which define the Hardy spaces h^p(G) equivalently, obtain the atomic decomposition of local Hardy spaces. We also give some bounded convolution operators h^p(G), from which we can characterize h^p(G) by sqare functions.

关键词: Heisenberg group, local field, local Hardy space

Abstract: Let G be a Heisenberg group over local field K. In the paper we give some local maximal functions which define the Hardy spaces h^p(G) equivalently, obtain the atomic decomposition of local Hardy spaces. We also give some bounded convolution operators h^p(G), from which we can characterize h^p(G) by sqare functions.

Key words: Heisenberg group, local field, local Hardy space

周广才, 郑维行. LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS[J]. 数学物理学报(英文版), 1996, 16(2): 129-141.

Zhou Guangcai, Zheng Weixing. LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS[J]. Acta mathematica scientia,Series B, 1996, 16(2): 129-141.

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LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

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