Uniform Bounds for Oscillatory and Polynomial Carleson Operators

Uniform Bounds for Oscillatory and Polynomial Carleson Operators

We prove that a variety of oscillatory and polynomial Carleson operators are uniformly bounded on the family of parameters under considerations. As a particular application of our techniques, we prove uniform bounds for oscillatory Carleson operators near a single scale version of the quadratic Carl...

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Veröffentlicht in:The Journal of fourier analysis and applications 2021-02, Vol.27 (1), Article 5
1. Verfasser: Ramos, João P. G.
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Approximations and Expansions
Fourier Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operators
Partial Differential Equations
Polynomials
Signal,Image and Speech Processing
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Zusammenfassung:We prove that a variety of oscillatory and polynomial Carleson operators are uniformly bounded on the family of parameters under considerations. As a particular application of our techniques, we prove uniform bounds for oscillatory Carleson operators near a single scale version of the quadratic Carleson operator.
ISSN:1069-5869
1531-5851
DOI:10.1007/s00041-020-09806-x