Remarks on Wolff's inequality for hypersurfaces

DOI10.1017/S0305004118000646zbMath1433.42004arXiv1602.05861WikidataQ129325936 ScholiaQ129325936MaRDI QIDQ5216085

Shaoming Guo, Changkeun Oh

Publication date: 14 February 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05861

zbMATH Keywords

Strichartz estimateFourier restrictiondecoupling conjecture

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Summability in several variables (42B08) Hypersurfaces and algebraic geometry (14J70)

Related Items (6)

A note on local smoothing estimates for fractional Schrödinger equations ⋮ Decouplings for three-dimensional surfaces in \(\mathbb{R}^{6}\) ⋮ Beyond Expansion IV: Traces of Thin Semigroups ⋮ Sobolev improving for averages over curves in \(\mathbb{R}^4\) ⋮ Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds ⋮ On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data

Cites Work

• Unnamed Item
• Wolff's inequality for hypersurfaces
• A local smoothing estimate in higher dimensions.
• Local smoothing type estimates on \(L^p\) for large \(p\)
• Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
• The proof of the \(l^2\) decoupling conjecture
• L p regularity of averages over curves and bounds for associated maximal operators
• On plate decompositions of cone multipliers

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