Special cases of power decay in multilinear oscillatory integrals

DOI10.1080/00036811.2021.1895985zbMath1497.42029arXiv1904.05428OpenAlexW3134256918WikidataQ114101880 ScholiaQ114101880MaRDI QIDQ5867328

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Publication date: 14 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05428

zbMATH Keywords

decayoscillatory integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Maximal decay inequalities for trilinear oscillatory integrals of convolution type
• Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities
• On trilinear oscillatory integrals
• On multilinear oscillatory integrals, nonsingular and singular
• A bilinear oscillatory integral along parabolas
• Higher decay inequalities for multilinear oscillatory integrals
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• Simply nondegenerate multilinear oscillatory integral operators with smooth phase
• A new proof of Szemerédi's theorem

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