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Regularity of averages over hypersurfaces
Authors:Lennart Börjeson
Affiliation:1. Department of Mathematics, University of Stockholm, Box 6701, S-113 85, Stockholm, Sweden
Abstract:Averages over smooth measures on smooth compact hypersurfaces inR n are studied. With assumptions on the decay of the Fourier transform of the measure we obtain mixed norm estimates for these means, for exampleL p estimates of multiparameter maximal functions over compact hypersurfaces.
Keywords:
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