Rough oscillatory singular integral operators of nonconvolution type

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Abstract

In this paper, we study a classes of oscillatory singular integral operators of nonconvolution type with phases more general than polynomials. We prove that such operators are bounded on Lp provided their kernels satisfy a very weak condition. In addition, we also study the related truncated oscillatory singular integral operators. Moreover, we present a class of unbounded oscillatory singular integral operators.

Original languageEnglish
Pages (from-to)72-88
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Volume299
Issue number1
DOIs
Publication statusPublished - Nov 1 2004

Keywords

  • Block spaces
  • Hardy-Littlewood maximal function
  • L estimates
  • Oscillatory singular integral operators
  • Rough kernels
  • Truncated maximal oscillatory singular integrals

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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