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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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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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第2期129-141,共13页 数学物理学报(B辑英文版)
关键词 Heisenberg group local field local Hardy space Heisenberg group local field local Hardy space
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