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L2 estimates for convolution operators with oscillating kernels

Published online by Cambridge University Press:  24 October 2008

Yibiao Pan
Yibiao Pan
Affiliation:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.
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Extract

Consider the operator

where , and K is smooth away from the origin and homogeneous of degree —μ, for some μ ≥ 0. The following theorem was proved in [4].

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 1 , January 1993 , pp. 179 - 193
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

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