Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels
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摘要: 利用Fourier变换和Littlewood-Paley理论,讨论了带粗糙核的超奇异积分算子的加权有界性.证明了带粗糙核的超奇异积分算子从Sobolev空间到Lebesgue空间的有界性.Abstract: The Fourier trans form and Little wood-Paley theory were used to give the weighted boundedness of the strongly singular in tegraloperator. It is shown that the strongly singular integral operator is bounded from the Sobolev space to the Lebesgue space.
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Key words:
- strongly singular intergral operators /
- rough kernels /
- Ap weights
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