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Singular integral and maximal operators associated to hypersurfaces:L p theory

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Abstract

We consider singular integral and maximal operators associated to hypersurfaces given by the graph of a function whose level sets are defined by a convex function of finite type. We investigate the Lp theory for these operators which depend on geometric properties of the hypersurface.

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Correspondence to Andreas Seeger.

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Communicated by Guido Weiss

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Seeger, A., Wainger, S., Wright, J. et al. Singular integral and maximal operators associated to hypersurfaces:L p theory. J Geom Anal 15, 477–498 (2005). https://doi.org/10.1007/BF02930982

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