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- W2786675378 abstract "$L^p({mathbb R}^n)$ to $L^p_{beta}({mathbb R}^n)$ boundedness theorems are proven for translation invariant averaging operators over hypersurfaces. The operators can either be Radon transforms or averaging operators with multiparameter fractional integral kernel. In many cases, the amount $beta > 0 $ of smoothing proven is optimal up to endpoints, and in such situations this amount of smoothing can be computed explicitly through the use of appropriate Newton polyhedra." @default.
- W2786675378 created "2018-02-23" @default.
- W2786675378 creator A5017883943 @default.
- W2786675378 date "2018-02-11" @default.
- W2786675378 modified "2023-09-27" @default.
- W2786675378 title "$L^p({mathbb R}^n)$ to $L^p_{beta}({mathbb R}^n)$ boundedness of averaging operators over hypersurfaces and the Newton polyhedron" @default.
- W2786675378 hasPublicationYear "2018" @default.
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