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Sergi Arias Garcia: Introduction to paraproducts

Tid: Fr 2020-01-31 kl 13.15 - 14.15

Plats: Kräftriket, house 6, room 306 (Cramér-rummet)

Medverkande: Sergi Arias Garcia

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Abstract

In this talk I will briefly introduce the theory of paraproducts. Using ideas from Littlewood-Paley theory we can reconstruct some formulas, like the product of functions, using those objects. They turn out to be very useful in analysis and PDEs, where boundedness of certain bilinear multipliers can be obtained through them, as well as fractional Leibniz rules.