Oscillatory Singular Integral Operators with Hölder Class Kernels

Oscillatory Singular Integral Operators with Hölder Class Kernels
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DOI:
10.1007/s00041-018-09660-y
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发表时间:
2019-01
影响因子:
1.2
通讯作者:
H. Al-Qassem;Leslie C. Cheng;Yibiao Pan
H. Al-Qassem;Leslie C. Cheng;Yibiao Pan
中科院分区:
数学3区
文献类型:
--
作者:
H. Al-Qassem;Leslie C. Cheng;Yibiao Pan

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建立了一类振荡奇异积分算子的有界性,其核是双线性相位的振荡因子与满足Hölder条件的Calderón-Zygmund核k (x,y)的乘积。我们的结果也适用于带权重的加权空间。
We establish the boundedness onof oscillatory singular integral operators whose kernels are the products of an oscillatory factor with bilinear phase and a Calderón–Zygmund kernelK(x,y) satisfying a Hölder condition. Our results also hold on weightedspaces withweights.