## The sharp weighted bound for singular integral operators

### Lundi 15 novembre 2010 14:00-15:00 - Hytönen Tuomas - Helsinki

Résumé : It is a classical result that usual singular integrals are bounded in weighted Lebesgue spaces if and only if the weight satisfies a well-known condition introduced by Muckenhoupt in the 1970s. A question of more recent interest is the precise dependence of the weighted operator norm on the Muckenhoupt norm of the weight. The optimal linear dependence in this highly nonlinear problem was first obtained in several special cases ; I will discuss some elements of my recent solution of the general problem. The proof relies on probabilistic ideas like « random dyadic cubes ».

Lieu : bât. 425 - 113-115

The sharp weighted bound for singular integral operators  Version PDF
août 2020 :

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 Département de Mathématiques Bâtiment 307 Faculté des Sciences d'Orsay Université Paris-Saclay F-91405 Orsay Cedex Tél. : +33 (0) 1-69-15-79-56 Département Fermeture du département Laboratoire Formation