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H■rmander's Multipliers for the Weighted Herz-type Hardy Spaces

H■rmander's Multipliers for the Weighted Herz-type Hardy Spaces
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摘要 In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hormander multiplier on the weighted Herz-type Hardy spaces HK^α,p 2（｜x｜^t; ｜x｜^t） and HK^α,P 2（｜x｜^t; ｜x｜^t）. In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hormander multiplier on the weighted Herz-type Hardy spaces HK^α,p 2（｜x｜^t; ｜x｜^t） and HK^α,P 2（｜x｜^t; ｜x｜^t）.
作者 Ming Yi LEE Chin Cheng LIN Yu Tien LIN
机构地区 Institute of Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第5期1509-1518,共10页 数学学报（英文版）
基金 Research is supported in part by National Science Council in Taipei
关键词 Ap weights Herz-type Hardy spaces Hormander＇s multipliers Weighted Hardy spaces Ap weights, Herz-type Hardy spaces, Hormander＇s multipliers, Weighted Hardy spaces
分类号 O17 [理学—基础数学]
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参考文献22

  • 1Baernstein II, A., Sawyer, E. T.: Embedding and multiplier theorems for H^P(R^n). Mere. Amer. Math.Soc., 53, (1985)
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  • 8Calderón, A. P., Torchinsky, A.: Parabolic maximal functions associated with a distribution II. Adv. Math.,24, 101-171 (1977)
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Acta Mathematica Sinica,English Series
2006年 第5期

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