Bilinear Sparse Domination for Oscillatory Integral Operators

2023/09/14 by Mattsson, Tobias · 1 citation
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.07552

Abstract

In this paper, we prove bilinear sparse domination bounds for a wide class of Fourier integral operators of general rank, as well as oscillatory integral operators associated to Hörmander symbol classes S^m_ρ,δ for all 0≤ρ≤ 1 and 0≤δ< 1, a notable example is the Schrödinger operator. As a consequence, one obtains weak (1,1) estimates, vector-valued estimates, and a wide range of weighted norm inequalities for these classes of operators.

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