Boundedness of Fourier integral operators on classical function spaces

نویسندگان

چکیده

We investigate the global boundedness of Fourier integral operators with amplitudes in general Hörmander classes Sρ,δm(Rn), ρ,δ∈[0,1] and non-degenerate phase functions arbitrary rank κ∈{0,1,…,n−1} on Besov-Lipschitz Bp,qs(Rn) Triebel-Lizorkin Fp,qs(Rn) order s 0<p≤∞, 0<q≤∞. The results that are obtained all up to end-point sharp also applied regularity Klein-Gordon-type oscillatory integrals aforementioned function spaces.

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2023

ISSN: ['0022-1236', '1096-0783']

DOI: https://doi.org/10.1016/j.jfa.2023.110018