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Maximal characterizations of Herz type Hardy spaces on homogeneous groups
Authors:Yinsheng Jiang  Lin Tang
Institution:(1) Department of Mathematics, Xinjiang University, 830046 Urumqi;(2) Department of Mathematics, Peking University, 100871 Beijing
Abstract:In this paper, the authors establish some characterizations of Herz-type Hardy spaces HK q α,p (G) and HK q α,p (G), where 1<q<∞, Q(1−1/q)≤α<∞, 0<p<∞ and G denotes a graded homogeneous Lie group. Supported by National Science Foundation of China, No. 10261007.
Keywords:homogeneous group  Hardy space  Herz space  maximal functions  HOMOGENEOUS GROUPS  HARDY SPACES  TYPE  HERZ  homogeneous  Lie group  Hardy spaces  paper
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