Regularity of averages over hypersurfaces

Lennart Börjeson

doi:10.1007/BF02386371

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Home > Journals > Ark. Mat. > Volume 27 > Issue 1-2 > Article

December 1989 Regularity of averages over hypersurfaces

Lennart Börjeson

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Lennart Börjeson¹
¹Department of Mathematics, University of Stockholm

Ark. Mat. 27(1-2): 189-210 (December 1989). DOI: 10.1007/BF02386371

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Abstract

Averages over smooth measures on smooth compact hypersurfaces in Rⁿ are studied. With assumptions on the decay of the Fourier transform of the measure we obtain mixed norm estimates for these means, for example L^p estimates of multiparameter maximal functions over compact hypersurfaces.