Function spaces for decoupling
Abstract
Abstract We introduce new function spaces that yield a natural reformulation of the decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless , in which case they coincide with the Hardy spaces for Fourier integral operators. We use these spaces to obtain improvements of the classical fractional integration theorem and local smoothing estimates.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN