Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels

HUANG Wen-li; TAO Xiang-xing; LI Sheng-hong

doi:10.3879/j.issn.1000-0887.2010.06.010

Volume 31 Issue 6

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HUANG Wen-li, TAO Xiang-xing, LI Sheng-hong. Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels[J]. Applied Mathematics and Mechanics, 2010, 31(6): 731-738. doi: 10.3879/j.issn.1000-0887.2010.06.010

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Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels

doi: 10.3879/j.issn.1000-0887.2010.06.010

1.
Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China;

Received Date: 2009-10-27
Rev Recd Date: 2010-05-11
Publish Date: 2010-06-15

Abstract

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.
- strongly singular intergral operators,
- rough kernels,
- A_p weights

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References(8)

References

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