On the Wolff circular maximal function

zbMath1301.42038arXiv1110.5595MaRDI QIDQ2452322

Joshua Zahl

Publication date: 2 June 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5595

zbMATH Keywords

semi-algebraic setcircular maximal functionpolynomial cell decomposition

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Semialgebraic sets and related spaces (14P10) Nonlinear incidence geometry (51B99)

Related Items (3)

Remarks on dimension of unions of curves ⋮ Counting higher order tangencies for plane curves ⋮ Circular average relative to fractal measures

Cites Work

• Refined bounds on the number of connected components of sign conditions on a variety
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• Averages in the plane over convex curves and maximal operators
• The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture
• Bounds on oscillatory integral operators based on multilinear estimates
• Propagation of singularities and maximal functions in the plane
• Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991
• On continuum incidence problems related to harmonic analysis.
• On some variants of the Kakeya problem
• Local smoothing type estimates on \(L^p\) for large \(p\)
• \(L^3\) estimates for an algebraic variable coefficient Wolff circular maximal function
• Multivariate simultaneous approximation
• Packing Circles in the Plane
• A Kakeya-type problem for circles

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