$L^p$ bounds for the helical maximal function
David Beltran (Madison)
01-Nov-2021, 21:00-22:00 (2 years ago)
Abstract: A natural 3-dimensional analogue of Bourgain’s circular maximal function theorem in the plane is the study of the sharp $L^p$ bounds in $\mathbb{R}^3$ for the maximal function associated with averages over dilates of the helix (or, more generally, of any curve with non-vanishing curvature and torsion). In this talk, we present a sharp result, which establishes that $L^p$ bounds hold if and only if $p>3$. This is joint work with Shaoming Guo, Jonathan Hickman and Andreas Seeger.
analysis of PDEsclassical analysis and ODEsfunctional analysis
Audience: researchers in the topic
OARS Online Analysis Research Seminar
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Organizers: | Rachel Greenfeld*, Zane Li*, Joris Roos*, Ziming Shi |
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