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- Title
On the global L<sup>2</sup>-boundedness of Fourier integral operators with rough amplitude and phase functions.
- Authors
Sindayigaya, Joachim
- Abstract
In this paper, we study the L 2 -boundedness of Fourier integral operators T ϕ , a with rough amplitude a (x , η) and rough phase functions ϕ (x , η) , which satisfies the new class of rough non-degeneracy condition. In this study, under the conditions a ∈ L ∞ S ρ m , ϕ ∈ L ∞ Φ 2 and some conditions of m, we show that T ϕ , a is bounded from L 2 to itself. Our main results extend and improve some known results about L 2 , however, the method we use to prove these results is new.
- Subjects
FOURIER integrals; INTEGRAL operators
- Publication
Forum Mathematicum, 2023, Vol 35, Issue 3, p783
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/forum-2022-0226