| BOUNDEDNESS OF STEIN＇S SQUARE FUNCTIONS ASSOCIATED TO OPERATORS ON HARDY SPACES |
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| 引用本文： | 闫雪芳.BOUNDEDNESS OF STEIN＇S SQUARE FUNCTIONS ASSOCIATED TO OPERATORS ON HARDY SPACES[J].数学物理学报(B辑英文版),2014(3):891-904. |
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| 作者姓名： | 闫雪芳 |
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| 作者单位： | [1]Department of Mathematics, Sun Yat-sen （ Zhongshan） University, Guangzhou 510275, China [2]College of Mathematics and Information Science, Heibei Normal University,Shijiazhuang 050016, China |
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| 基金项目： | Acknowledgements The author would like to thank P. Chen for helpful discussions. |
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| 摘 要： | Let(X, d, μ) be a metric measure space endowed with a metric d and a nonnegative Borel doubling measure μ. Let L be a second order non-negative self-adjoint operator on L2(X). Assume that the semigroup e-tLgenerated by L satisfies the Davies-Gaffney estimates. Also, assume that L satisfies Plancherel type estimate. Under these conditions,we show that Stein's square function Gδ(L) arising from Bochner-Riesz means associated to L is bounded from the Hardy spaces Hp L(X) to Lp(X) for all 0 p ≤ 1.
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| 关 键 词： | Hardy空间 平方函数 自伴算子 有界性 Riesz平均 测度空间 戴维斯 el型 |
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