| 振荡奇异积分的L~p有界性 |
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| 引用本文： | 邱启荣.振荡奇异积分的L~p有界性[J].数学学报,1997,40(1):129-132. |
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| 作者姓名： | 邱启荣 |
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| 作者单位： | 华北电力大学基础部 北京102206 |
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| 摘 要： | 文中讨论了振荡奇异积分:其中对满足一定凸性条件的P以及Ω∈L~q(S~(n-1))(q>1),证明了T在L~P(R~n)上有界,p>1.
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| 关 键 词： | 振荡奇异积分 有界性 凸 |
| 收稿时间： | 1995-7-24 |
| 修稿时间： | 1996-5-6 |
L~p Boundedness for Oscillatory Singular Integrals |
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| Qiu Qirong.L~p Boundedness for Oscillatory Singular Integrals[J].Acta Mathematica Sinica,1997,40(1):129-132. |
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| Authors: | Qiu Qirong |
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| Institution: | Qiu Qirong
(North China Electric Power University, Beijing 102206, China) |
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| Abstract: | This paper considers the following oscillatory singular integrals: Tf(x)= P.V. ∫Rn eip(x-y)K(x - y)f(x)dy, where K(y) = Ω(y)/||y||n and ∫Sn-1Ω(y)dσ(y) = 0. For P which satisfies certain convex condition andΩ∈ Lq(Sn-1) (q > 1), we prove that T is bounded on Lp(Rn), p > 1. |
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| Keywords: | Singular integral Boundedness Convex |
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