LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

作     者：周广才 郑维行 

作者机构：SOUTHEAST UNIVDEPT MECH & MATHNANJING 210018PEOPLES R CHINA NANJING UNIVDEPT MATHNANJING 210008PEOPLES R CHINA 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：1996年第16卷第2期

页      面：129-141页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Heisenberg group local field local Hardy space 

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.