Singular integrals with angular integrability
Federico Cacciafesta, Renato Luc\`a
TL;DR
This paper establishes sharp inequalities for singular integral operators within weighted Lebesgue spaces that incorporate angular integrability, advancing the understanding of these operators in such function spaces.
Contribution
It introduces new sharp inequalities for singular integrals in weighted Lebesgue spaces with angular integrability, expanding existing theoretical frameworks.
Findings
Proved sharp inequalities for singular integrals with angular integrability.
Extended weighted Lebesgue space theory to include angular integrability.
Provided tools for analyzing singular integrals in more general function spaces.
Abstract
In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Differential Equations and Boundary Problems