L p improving estimates for some classes of Radon transforms

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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 languageEnglish
Pages (from-to)3887-3903
Number of pages17
JournalTransactions of the American Mathematical Society
Volume357
Issue number10
DOIs
Publication statusPublished - 2005 Oct

Keywords

  • Oscillatory integral operator
  • Radon transform

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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