Title of article :
On continuum incidence problems related to harmonic analysis
Author/Authors :
W. Schlag، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
We consider averaging operators over curves and surfaces satisfying the rotational curvature condition of Phong and Stein. Using combinatorial arguments restricted weak-type versions of the standard estimates are obtained under weaker assumptions on the regularity of these surfaces. We also consider maximal functions over circles in the plane and obtain a simpler proof of Wolffʹs endpoint result.
Keywords :
Combinatorial methods , Averaging operators
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis