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

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

Year:    2024

Author:    Ziyao Liu, Dashan Fan

Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 528–538

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v57n4.24.09

Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 528–538

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Oscillatory multiplier wave equation compact measure spaces.

Author Details

Ziyao Liu

Dashan Fan