A class of maximal functions with oscillating kernels

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Abstract

The author studies the L p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. L p estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted.

Original languageEnglish
Pages (from-to)2003-2016
Number of pages14
JournalActa Mathematica Sinica, English Series
Volume23
Issue number11
DOIs
Publication statusPublished - Nov 2007

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Keywords

  • Maximal functions
  • Morrey spaces
  • Oscillatory singular integrals
  • Parametric Marcinkiewicz integral operators
  • Power weights
  • Weighted Lp bounds

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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