Canadian Mathematical Society
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Abstract view

Sharpness Results and Knapp's Homogeneity Argument

 Printed: Mar 2000
  • Alex Iosevich
  • Guozhen Lu
Format:   HTML   LaTeX   MathJax   PDF   PostScript  


We prove that the $L^2$ restriction theorem, and $L^p \to L^{p'}$, $\frac{1}{p}+\frac{1}{p'}=1$, boundedness of the surface averages imply certain geometric restrictions on the underlying hypersurface. We deduce that these bounds imply that a certain number of principal curvatures do not vanish.
MSC Classifications: 42B99 show english descriptions None of the above, but in this section 42B99 - None of the above, but in this section

© Canadian Mathematical Society, 2015 :