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Volume 57, Issue 4
Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus

Ziyao Liu & Dashan Fan

J. Math. Study, 57 (2024), pp. 528-538.

Published online: 2024-12

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  • 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.

  • AMS Subject Headings

42B15, 42B25, 42B99

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COPYRIGHT: © Global Science Press

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@Article{JMS-57-528, author = {Liu , Ziyao and Fan , Dashan}, title = {Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {4}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n4.24.09}, url = {http://global-sci.org/intro/article_detail/jms/23716.html} }
TY - JOUR T1 - Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus AU - Liu , Ziyao AU - Fan , Dashan JO - Journal of Mathematical Study VL - 4 SP - 528 EP - 538 PY - 2024 DA - 2024/12 SN - 57 DO - http://doi.org/10.4208/jms.v57n4.24.09 UR - https://global-sci.org/intro/article_detail/jms/23716.html KW - Oscillatory multiplier, wave equation, compact measure spaces. AB -

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.

Liu , Ziyao and Fan , Dashan. (2024). Endpoint Estimates for an Oscillatory Multiplier Associated with Wave Equations on the Torus. Journal of Mathematical Study. 57 (4). 528-538. doi:10.4208/jms.v57n4.24.09
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