| k阶Stein函数的有界性 |
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| 引用本文： | 林道荣. k阶Stein函数的有界性[J]. 纯粹数学与应用数学, 2003, 19(2): 140-144 |
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| 作者姓名： | 林道荣 |
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| 作者单位： | 江苏南通师范学院数学系,南通,226007 |
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| 基金项目： | 南通师范学院专项科研基金资助 |
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| 摘 要： | 通过Poisson积分构造向量核函数，利用向量情形的奇弄积分算子的强型估计与弱型估计理论，建立了k阶Stein函数的强型估计、弱型估计与BMO模估计，完全解决了A阶Stein函数的有界性问题。
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| 关 键 词： | k阶Stein函数 强型估计 弱型估计 奇异积分 BMO模估计 |
| 文章编号： | 1008-5513(2003)02-0140-05 |
| 修稿时间： | 2002-04-27 |
The Boundedness of k-step Stein Functions |
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| LIN Dao-rong. The Boundedness of k-step Stein Functions[J]. Pure and Applied Mathematics, 2003, 19(2): 140-144 |
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| Authors: | LIN Dao-rong |
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| Abstract: | On the basis of discussion about the vector kernel function built on the Poisson integral ,the strong type estimate and the weak type estimate,together with BMO-norm of k-step Stein Functions are constructed with the theories of the strong type estimate and the weak type estimate of singular integral operator in the form of vector. So the boundedness problem of k-step Stein Functions is completely solved. |
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| Keywords: | k-step Stein Functions the strong type estimate the weak type estimate BMO-norm estimates singular tntegral |
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