Weighted Norm Inequalities for One-sided Oscillatory Integral Operators

2011/06/04 by Zunwei Fu, Fu, Zunwei, Shaoguang Shi +3
Mathematics · #Advanced Harmonic Analysis Research #Algebra over a field #Applied mathematics #Artificial intelligence #Computer science #Differential Equations and Boundary Problems #FOS: Mathematics #Fourier integral operator #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Inequality #Interpolation (computer graphics) #Mathematical analysis #Mathematics #Microlocal analysis #Norm (philosophy) #Operator norm #Operator theory #Political science #Primary 42B20 #Pure mathematics #Secondary 42B25 #Singular integral operators #math.FA #msc:42B20 #msc:42B25

paper · pdf · doi:10.48550/arxiv.1106.0826

12 pages

arxiv created 2011/06/04 · openalex publication_date 2011/06/04 · arxiv updated 2011/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to establish the weighted norm inequalities of one-sided oscillatory integral operators by the aid of interpolation of operators with change of measures.

Citations

• Weighted norm inequalities for maximal functions and singular integrals
• Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals

Related

• Weighted norm inequalities for fractional oscillatory integrals and applications
• Weighted norm inequalities for oscillatory integrals with finite type phases on the line
• Weighted Weak (1,1) estimates for one-sided oscillatory singular integrals
• Weighted norm inequalities for convolution and Riesz potential
• Weighted norm inequalities for Schrödinger type operators