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Euclidean Harmonic Analysis, Nilpotent Lie Groups and PDEs

A Covering Lemma for Certain Monomial Polyhedra

speaker: Alexander Nagel (University of Wisconsin-Madison)

abstract: In joint work with Malabika Pramanik, we consider maximal averages over families of sets defined by monomial inequalities. A proof of the L^p boundeness of the corresponding maximal operator for p>1 has appeared in Duke Math. J., but the argument there does not give information about the behavior of the operator near p=1. In this talk I will discuss an alternate approach via a covering lemma argument.

timetable:
Mon 12 Apr, 14:00 - 15:00, Aula Dini
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