An improved maximal inequality for 2D fractional order Schrödinger operators

DOI10.4064/sm8190-12-2015zbMath1343.42027arXiv1308.3359OpenAlexW3103512406MaRDI QIDQ2787145

Jianwei Yang, Ji Qiang Zheng, Chang Xing Miao

Publication date: 24 February 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3359

zbMATH Keywords

Fourier transformoscillatory integral operatorinduction on scaleslocalization argumentlocal maximal inequalityfractional order Schrödinger operatorsmultilinear restriction estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)

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