SHARP BOUNDS FOR MULTILINEAR CURVED KAKEYA, RESTRICTION AND OSCILLATORY INTEGRAL ESTIMATES AWAY FROM THE ENDPOINT

DOI10.1112/mtk.12029zbMath1442.42042arXiv1907.11342OpenAlexW3016006622MaRDI QIDQ5112847

Terence C. Tao

Publication date: 9 June 2020

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11342

zbMATH Keywords

curved multilinear Kakeya estimatemultilinear Kakeya estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (3)

Disentanglement, multilinear duality and factorisation for nonpositive operators ⋮ A supersolutions perspective on hypercontractivity ⋮ Tomography bounds for the Fourier extension operator and applications

Cites Work

• Unnamed Item
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• A study guide for the \(l^{2}\) decoupling theorem
• Bounds on oscillatory integral operators based on multilinear estimates
• On the multilinear restriction and Kakeya conjectures
• The multilinear restriction estimate: a short proof and a refinement
• The proof of the \(l^2\) decoupling conjecture
• Aspects of Multilinear Harmonic Analysis Related to Transversality

This page was built for publication: SHARP BOUNDS FOR MULTILINEAR CURVED KAKEYA, RESTRICTION AND OSCILLATORY INTEGRAL ESTIMATES AWAY FROM THE ENDPOINT