Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem

DOI10.2140/apde.2020.13.1457zbMath1452.42010arXiv1710.10988OpenAlexW3101928880MaRDI QIDQ2210878

Shaoming Guo, Po-Lam Yung, Joris Roos

Publication date: 9 November 2020

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10988

zbMATH Keywords

variation-normpolynomial Carleson

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Related Items (10)

Variation bounds for spherical averages ⋮ Discrete analogues of maximally modulated singular integrals of Stein-Wainger type ⋮ A note on local smoothing estimates for fractional Schrödinger equations ⋮ Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: \(\ell^p\) bounds for \(p > 1\) ⋮ Local smoothing estimates of fractional Schrödinger equations in \(\alpha\)-modulation spaces with some applications ⋮ Improved local smoothing estimates for the fractional Schrödinger operator ⋮ New bounds for Stein’s square function in ℝ³ ⋮ Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives ⋮ Analysis and applications: The mathematical work of Elias Stein ⋮ Sharp Local Smoothing Estimates for Fourier Integral Operators

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