Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus

In this paper, we establish the endpoint estimate for an oscillatory multiplier associated with wave equations on the torus, which extends the results of Fan and Sun. In addition, we obtain a more general result for sublinear operators on compact measure spaces.

Authors

Publication Details

Journal
Journal of Mathematical Study
Published
2024-12-13
DOI
https://doi.org/10.4208/jms.v57n4.24.09
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus

Dashan Fan, Ziyao Liu null
Journal of Mathematical Study
Stability and Controllability of Differential Equations
article

Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus

Dashan Fan, Ziyao Liu null
article en

Abstract

In this paper, we establish the endpoint estimate for an oscillatory multiplier associated with wave equations on the torus, which extends the results of Fan and Sun. In addition, we obtain a more general result for sublinear operators on compact measure spaces.

Journal of Mathematical StudyVol. 57(4)
Openalex Percentile: Top 70%
Stability and Controllability of Differential Equations
DOIOpen Access PDFOpenAlex
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Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus — Dashan Fan, Ziyao Liu null · Journal of Mathematical Study (2024) | TGRS Research Map | TGRS