Year: 2025
Type: article
Abstract: In this paper, we establish the global boundedness of oscillatory integral operators on Besov–Lipschitz and Triebel–Lizorkin spaces, with amplitudes in general [Formula: see text]-classes and non-degenerate phase functions in the class [Formula: see text]. Our results hold for a wide range of parameters [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. We also provide a sufficient condition for the boundedness of operators with amplitudes in the forbidden class [Formula: see text] in Triebel–Lizorkin spaces.
Source: Analysis and Applications
Authors: Anders Israelsson, Tobias Mattsson, Wolfgang Staubach
Institution: Uppsala University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414531504