Uniform Lp Boundedness for Oscillatory Singular Integrals with C∞ Phases

We establish the uniform boundedness of oscillatory singular integral operators on L p spaces for C ∞ phases and Hölder class singular kernels. Our main result improves and unifies several existing L p results for oscillatory singular integrals.

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Bibliographic Details
Published inThe Journal of fourier analysis and applications Vol. 28; no. 6
Main Author Pan, Yibiao
Format Journal Article
LanguageEnglish
Published New York Springer US 2022
Springer Nature B.V
Subjects
Abstract Harmonic Analysis
Approximations and Expansions
Fourier Analysis
Integrals
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operators (mathematics)
Partial Differential Equations
Signal,Image and Speech Processing
Primary 42B20
42B35
Calderón–Zygmund kernels
Hölder class
Secondary 42B30
Oscillatory integrals
Singular integrals
spaces
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Summary:We establish the uniform boundedness of oscillatory singular integral operators on L p spaces for C ∞ phases and Hölder class singular kernels. Our main result improves and unifies several existing L p results for oscillatory singular integrals.
ISSN:1069-5869
1531-5851
DOI:10.1007/s00041-022-09982-y