Some Characterizations of Weighted Herz-type Hardy Spaces and Their Applications

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Lu Shanzhen Department of MathematicsBeijing Normal UniversityBeijingChinaEmailluszbnueducnYang Dachun Department of MathematicsBeijing Normal UniversityBeijinChinaEmaildcyangbnueducn [100875 ,9 ,100875 ]
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<正> In this paper,the authors first establish some new real-variable characterizations of Herz-type Hardy spaces Hqα,p(ω1;ω2)and HKqα,P(ω1;ω2),where ω1,ω2 ∈A1-weight,1<q<∞,n(1-1/q)≤α<∞ and 0<p<∞.Then,using these new characterizations,they investigate theconvergence of a bounded set in these spaces,and study the boundedness of some potential operatorson these spaces.
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页码:45 / 58
页数:14
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