A note on singular integrals associated with a variable surface of revolution

A note on singular integrals associated with a variable surface of revolution
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DOI:
10.7153/mia-12-34
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发表时间:
2009-04
影响因子:
1
通讯作者:
D. Fan;Shuichi Sato
D. Fan;Shuichi Sato
中科院分区:
数学4区
文献类型:
--
作者:
D. Fan;Shuichi Sato

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假设相关的低维极大算子具有有界性,证明了与变旋转曲面相关的奇异积分算子的Lp有界性。奇异积分由满足一定大小和消去条件的粗糙核定义。数学学科分类(2000):小学42B20。
We prove Lp boundedness of certain singular integral operators associated with a variable surface of revolution assuming a boundedness of related lower dimensional maximal operators. The singular integrals are defined by rough kernels satisfying certain size and cancellation conditions. Mathematics subject classification (2000): Primary 42B20.