We prove sharp Lp-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R3.
Bibliographical noteFunding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2012R1A1A3005964 , NRF-2012R1A1A1011889 , and NRF-2013R1A1A2013659 .
- Lp→Lαp estimates
- Sobolev regularity
ASJC Scopus subject areas
- Applied Mathematics