location:  Publications → journals → CMB
Abstract view

# Sharpness Results and Knapp's Homogeneity Argument

Published:2000-03-01
Printed: Mar 2000
• Alex Iosevich
• Guozhen Lu
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

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 - None of the above, but in this section

 top of page | contact us | privacy | site map |