Singular integrals on symmetric spaces, II

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We extend some of our earlier results on boundedness of singular integrals on symmetric spaces of real rank one to arbitrary noncompact symmetric spaces. Our main theorem is a transference principle for operators defined by double-struck K sign;-bi-invariant kernels with certain large scale cancellation properties. As an application we prove Lp boundedness of operators defined by Fourier multipliers that satisfy singular differential inequalities of the Ho'rmander-Michlin type.

Original languageEnglish (US)
Pages (from-to)3359-3378
Number of pages20
JournalTransactions of the American Mathematical Society
Issue number8
StatePublished - Aug 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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