Abstract
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.
Original language | English |
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Pages (from-to) | 3887-3903 |
Number of pages | 17 |
Journal | Transactions of the American Mathematical Society |
Volume | 357 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2005 Oct |
Keywords
- Oscillatory integral operator
- Radon transform
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics