In this paper, we give L p - L q estimates and the L F regularizing estimate of Radon transforms associated to real analytic functions, and we also give estimates of the decay rate of the L p operator norm of corresponding oscillatory integral operators. For L p - L q estimates and estimates of the decay rate of the L p operator norm we obtain sharp results except for extreme points; however, for L p regularity we allow some restrictions on the phase function.
- Oscillatory integral operator
- Radon transform
ASJC Scopus subject areas
- Applied Mathematics