A type of oscillatory integral operator and its applications

DOI10.1007/S00209-022-03127-ZzbMath1498.42014arXiv2201.01021OpenAlexW4226211546WikidataQ114231045 ScholiaQ114231045MaRDI QIDQ2081427

Jingyue Li, Chuanwei Gao, Liang Wang

Publication date: 13 October 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01021

zbMATH Keywords

polynomial partitioning\(k\)-broad ``normHörmander-type operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

On smoothing estimates for Schrödinger equations on product spaces \(\mathbb{T}^m \times \mathbb{R}^n\)

Cites Work

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• Uniform Sobolev inequalities for second order non-elliptic differential operators
• Bounds on oscillatory integral operators based on multilinear estimates
• Linear and bilinear estimates for oscillatory integral operators related to restriction to hypersurfaces
• A local smoothing estimate for the Schrödinger equation
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• \(L^ p\)-estimates for oscillatory integrals in several variables
• Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
• Restriction estimates using polynomial partitioning. II
• Sharp resolvent estimates outside of the uniform boundedness range
• Sharp estimates for oscillatory integral operators via polynomial partitioning
• Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds
• The proof of the \(l^2\) decoupling conjecture
• A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
• Oscillatory integrals and multipliers on FL\(^p\)
• \(H^p\) spaces of several variables
• A restriction estimate in \(\mathbb{R}^3\) using brooms
• A note on local smoothing estimates for fractional Schrödinger equations
• A restriction estimate using polynomial partitioning

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