LP and weak L1 estimates for the maximal Riesz transform and the maximal beurling transform

Joan Mateu, Joan Verdera

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)

Abstract

We prove Lp estimates for the maximal Riesz transform in terms of the Riesz transform itself, for 1 < p ≤ ∞. We show that the corresponding weak L1 estimate fails for the maximal Riesz transform, but surprisingly does hold for the maximal Beurling transform. © International Press 2006.
Original languageEnglish
Pages (from-to)957-966
JournalMathematical Research Letters
Volume13
Issue number5-6
Publication statusPublished - 1 Sep 2006

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