An endpoint estimate for some maximal operators associated to submanifolds of low codimension

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Abstract

We show that the maximal operator Mf(cursive Greek chi) = supj∈ℤ | (latin small letter esh)ℝd f(cursive Greek chi - 2jy) dμ(y)| maps H1 into L1,∞ under certain assumptions on the decay of μ̂ and the geometry of supp(μ).

Original languageEnglish
Pages (from-to)323-338
Number of pages16
JournalPacific Journal of Mathematics
Volume201
Issue number2
DOIs
Publication statusPublished - 2001 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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