Maximal inequality along curves associated with oscillatory integral operator

In this paper, we establish maximal estimates along curves for a class of multiparameter oscillatory integral operators, which can be seen as an extension to the results of the Schrödinger type multiparameter operators of Sjolin and Soria (J. Math. Anal. Appl. 411:129–143, 2014 ) and Cho, Lee, and V...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; pp. 49 - 14
Main Authors Niu, Yaoming, Xue, Ying
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.04.2025
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Curves
Fourier transforms
Inequality
Mathematics
Mathematics and Statistics
Maximal inequality
Operators (mathematics)
Oscillatory integral
Schrodinger equation
Oscillatory integral
42B25
Maximal inequality
42B15
Curves
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Summary:In this paper, we establish maximal estimates along curves for a class of multiparameter oscillatory integral operators, which can be seen as an extension to the results of the Schrödinger type multiparameter operators of Sjolin and Soria (J. Math. Anal. Appl. 411:129–143, 2014 ) and Cho, Lee, and Vargas (J. Fourier Anal. Appl. 18:972–994, 2012 ) to Schrödinger operators along the curves.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-025-03299-2