Theta(t)型振荡奇异积分的一个权模不等式

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基金项目: 山东省教委资助项目(J98P51)

A Weighted Norm Inequality for Thela(t)-Type Oscillatory Singular Integrals

摘要: 讨论了theta(t)型振荡奇异积分算子,对于非负、局部可积的权函数,证明了theta(t)型振荡奇异积分算子的一个加权模不等式,只是权函数被它作用几次Hardy-Littlewood极大算子的权函数所代替.
- theta(t)型振荡奇异积分 /
- 权模不等式 /
- Hardy-Littlewood极大算子
Abstract: The theta(t)-type oscillatory singular integral operators has been discussed. With the non-negative Locally integrable weighted funciton, the weighted norm inequalityof theta(t)-type oscillatory singular integral operators is proved, and the weighted function has replaced by action of Hardy-Littlewood maximal operators several times.
- theta(t)-type oscillatory singular integral /
- weighted norm inequality /
- Hardy-Littlewood maximal operator

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