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Research Article | Open Access

A note on Boussinesq maximal estimate

Dan Li1, Xiang Li2( )
School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China
School of Mathematics and Finance, Chuzhou University, Chuzhou, Anhui 239012, China
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Abstract

We considered the Boussinesq maximal estimate when n ≥ 1. We obtained the Boussinesq maximal operator B E ∗ f is bounded from L 2 ( R n ) to L 2 ( R n ) when f ∈ L 2 ( R n ) and supp f ^ ⊂ B ( 0 , λ ).

Keywords

Boussinesq operatormaximal estimateboundedfrequency decompositionlinearization
CLC number: 42B25, 42B37

References

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AIMS Mathematics
Volume 9 Issue 1,
January 2024
Pages 1819-1830
DOI: 10.3934/math.2024088

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Li D, Li X. A note on Boussinesq maximal estimate. AIMS Mathematics, 2024, 9(1): 1819-1830. https://doi.org/10.3934/math.2024088

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Received: 22 August 2023
Revised: 19 November 2023
Accepted: 30 November 2023
Published: 15 January 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)