Jonathan Hickman: The Helical Maximal Function

Explore the helical maximal function in this 51-minute lecture by Jonathan Hickman at the Hausdorff Center for Mathematics. Delve into a higher-dimensional variant of Bourgain's theorem, examining space curves like helices in R3. Learn about the boundedness of the helical maximal operator on Lp spaces and its connection to Fourier analytic tools. Discover the application of Littlewood-Paley theory for functions with frequency support near a cone. Gain insights into the geometric and critical aspects of this mathematical concept, as well as its relation to GMT packing problems and Euclidean wave propagator theory.

Introduction
nicodem set
main result
Discussion
Free integral operator
Oscillatory term
Support
new features
geometry
localization
critical
intermediate