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L p improving estimates for some classes of Radon transforms. (English) Zbl 1074.44002
Author’s summary: We give L p -L q estimates and the L p 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.
MSC:
44A12Radon transform
35S30Fourier integral operators