Singular and fractional integrals along variable surfaces
Singular and fractional integrals along variable surfaces
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DOI：
10.14492/hokmj/1285766308
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发表时间：
2006
影响因子：
0.5
通讯作者：
D. Fan;Shuichi Sato
中科院分区：
文献类型：
--
作者：
D. Fan;Shuichi Sato
研究了与变旋转曲面相关的奇异积分。我们对待粗糙的内核的情况下，奇异积分是由一个H1核函数定义的球Sn-1。我们证明了奇异积分的Lp有界性1 1。我们还研究了与旋转曲面相关的分数次积分的（Lp，Lr）有界性.
We study singular integrals associated with variable surfaces of revolution. We treat the rough kernel case where the singular integral is defined by an H 1 kernel function on the sphere S n-1 . We prove the L p boundedness of the singular integral for 1 1. We also study the (L p , L r ) boundedness for fractional integrals associated with surfaces of revolution.