Maximal Estimates of Schrödinger Equations on Rearrangement Invariant Sobolev Spaces. (2nd January 2019)

• Record Type: Journal Article
• Authors: Ho, Kwok-Pun
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 1(2019)
• Page Start: 52
• Page End: 64
• Publication Date: 2019-01-02
• Subjects: Banach function spaces -- interpolation -- martingale -- maximal functions -- rearrangement-invariant -- Schrödinger equations -- Sobolev spaces -- sublinear operators; 35B65 -- 42B25 -- 42B15 -- 46E30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1487977
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We establish the maximal estimates for the solutions of some initial value problems on rearrangement-invariant quasi-Banach function spaces. Our result covers the cases for which the initial value problem is given by the Schrödinger equation.