Sparse bounds for pseudodifferential operators

被引：1
作者：
David Beltran
Laura Cladek
机构：
[1] Basque Center for Applied Mathematics (BCAM),Department of Mathematics
[2] University of California,undefined
来源：
Journal d'Analyse Mathématique | 2020年 / 140卷
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摘要：
We prove sparse bounds for pseudodifferential operators associated to Hörmander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis. As a consequence, we deduce a range of weighted estimates for pseudodifferential operators. The results naturally apply to the context of oscillatory Fourier multipliers, with applications to dispersive equations and oscillatory convolution kernels.
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页码：89 / 116
页数：27
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