Sharp Lorentz space estimates for rough operators

1999/12/13 by Andreas Seeger, Terence Tao, Seeger, Andreas +1
Mathematics · #42B20 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #math.CA #msc:42B20

paper · pdf · doi:10.48550/arxiv.math/9912098

26 pages, no figures, submitted to Math. Annalen

arxiv created 1999/12/13 · openalex publication_date 1999/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate the (H¹,L^1,2) or (L^p,L^p,2) mapping properties of several rough operators. In all cases these estimates are sharp in the sense that the Lorentz exponent 2 cannot be replaced by any lower number.

Citations

• Hp spaces of several variables
• Parabolic maximal functions associated with a distribution, II
• Some Maximal Inequalities

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