| 一类平方函数的加幂权有界性 |
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| 引用本文： | 应益明.一类平方函数的加幂权有界性[J].浙江大学学报(理学版),2000,27(1):14-19. |
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| 作者姓名： | 应益明 |
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| 作者单位： | 浙江大学西溪校区数学与信息科学系!浙江杭州310028 |
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| 摘 要： | 本文讨论平方函数 gJ (f ) 和幂权 Lp 有界性 ,其中 J(x ) = K(x′ )g(| x| ) ,K∈ H1 (Sn- 1 ),且 g(| x| ) 满足一定的条件.作为推论 ,本文得到了 Marcinkiewicz积分 _K( f ) 加幂权的 Lp 有界性.
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| 关 键 词： | 平方函数 Marcinkiewicz积分 Hardy空间 幂权 |
| 修稿时间： | 1999-01-21 |
A class of square functions with power weights |
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| YING Yi\|ming.A class of square functions with power weights[J].Journal of Zhejiang University(Sciences Edition),2000,27(1):14-19. |
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| Authors: | YING Yi\|ming |
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| Institution: | (Department of Mathematics and Information Sciences, Zhejiang University , Hangzhou 310028,China) |
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| Abstract: | ForK∈ H1 (Sn- 1 ) and suitable g∈ L1 (R1 + ,rn- 1 dr), the Lp (| x| Tdx ) boundedness of gJ was obtained, where J(x ) = K(x′ )g(| x| ). As a corollary, the Lp (| x| Tdx ) boundedness of the Marcinkiewicz integral operator_K(f ) was obtained. The L2 (| x| Tdx ) boundedness of_K( f ) forKbeing introduced in the paper6] w as also given. |
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| Keywords: | square functions Marcinkiewicz integrals Hardy space power weights |
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