Multilinear local Tb for Square functions
Ana Grau de la Herran, Jarod Hart, Lucas Oliveira
TL;DR
This paper extends local Tb theorems to multilinear square functions, introduces new BMO interpolation results, and applies these bounds to establish a multilinear local Tb theorem for singular integrals.
Contribution
It advances the theory by generalizing local Tb theorems to multilinear square functions and developing new BMO interpolation techniques.
Findings
Established multilinear local Tb theorem for singular integrals
Extended local Tb theorem to multilinear square functions
Developed new BMO type interpolation results
Abstract
In the present work we extend a local Tb theorem for square functions of Christ and Hofmann to the multilinear setting. We also present new BMO type interpolation result for square functions associated to multilinear operators. These square function bounds are applied to prove a multilinear local Tb theorem for singular integral operators.
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 · Mathematical Analysis and Transform Methods · Advanced Banach Space Theory