Pointwise convergence of sequential Schrödinger means

Abstract We study pointwise convergence of the fractional Schrödinger means along sequences t n $t_{n}$ that converge to zero. Our main result is that bounds on the maximal function sup n | e i t n ( − Δ ) α / 2 f | $\sup_{n} |e^{it_{n}(-\Delta )^{\alpha /2}} f| $ can be deduced from those on sup 0...

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Bibliographic Details
Main Authors: Chu-Hee Cho, Hyerim Ko, Youngwoo Koh, Sanghyuk Lee
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02964-8