Singular maximal functions and Radon transforms near L 1

Andreas Seeger, Terence Tao, James Wright

Type: Article

Publication Date: 2004-06-01

Citations: 29

DOI: https://doi.org/10.1353/ajm.2004.0020

Abstract

We show that some singular maximal functions and singular Radon transforms satisfy a weak type L log log L inequality. Examples include the maximal function and Hilbert transform associated to averages along a parabola. The weak type inequality yields pointwise convergence results for functions which are locally in L log log L .

Locations

American Journal of Mathematics - View
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - PDF
American Journal of Mathematics - View
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - PDF
American Journal of Mathematics - View
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - PDF

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+ PDF	A remark on singular Calderón-Zygmund theory	1987	Michael Christ Elias M. Stein
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