Some Problems in Harmonic Analysis

Abstract

In May 2016, we organized a conference in harmonic analysis in honor of Professor Michael Christ, on the campus of the University of Wisconsin in Madison. We are happy to present sixteen open problems, almost all of which were contributed by participants of a problem session held in the afternoon of May 19, 2016.

19 pages

References in corpus (9)

• On pointwise estimates involving sparse operators
• Beyond the entropy power inequality, via rearrangements
• Norm-variation of ergodic averages with respect to two commuting transformations
• Dyadic triangular Hilbert transform of two general and one not too general function
• Cancellation for the simplex Hilbert transform
• Some Optimizations for (Maximal) Multipliers in $L^p$
• The Helmholtz equation with $L^p$ data and Bochner-Riesz multipliers
• $L^p-L^2$ Fourier restriction for hypersurfaces in ${\mathbb{R}}^3$: Part I
• Hilbert transforms along Lipschitz direction fields: A lacunary model

Cited by in corpus (6)

• Sharp geometric condition for null-controllability of the heat equation on ${\mathbb{R}}^d$ and consistent estimates on the control cost
• A restriction estimate in ${\mathbb{R}}^3$ using brooms
• Subdyadic square functions and applications to weighted harmonic analysis
• A survey on reverse Carleson measures
• Tomography bounds for the Fourier extension operator and applications
• On the regularity of the De Gregorio model for the 3D Euler equations