Regularity of averages over hypersurfaces

Lennart Börjeson Department of Mathematics, University of Stockholm

TBD mathscidoc:1701.332704

Arkiv for Matematik, 27, (1), 189-210, 1988.8
Averages over smooth measures on smooth compact hypersurfaces in$R$^{$n$}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.
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  title={Regularity of averages over hypersurfaces},
  author={Lennart Börjeson},
  booktitle={Arkiv for Matematik},
Lennart Börjeson. Regularity of averages over hypersurfaces. 1988. Vol. 27. In Arkiv for Matematik. pp.189-210.
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