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Euclidean Harmonic Analysis, Nilpotent Lie Groups and PDEs

Weighted Norm Inequalities for Pseudo-Differential Operators Defined

speaker: David Rule (Maxwell Institute and Heriot-Watt University)

abstract: We study pseudo-differential operators defined via amplitudes which are only measurable in the spatial variables. We obtain almost sharp results concerning their boundedness on weighted L^p spaces by proving point-wise estimates in terms of the Hardy-Littlewood maximal function. Despite the almost sharpness of the general result, a stronger result can be obtained in special cases. This is joint work with Nicolas Michalowski and Wolfgang Staubach.

timetable:
Fri 23 Apr, 11:00 - 12:00, Aula Dini
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