Orateur
M.
Brett Wick
Description
Lecture 1: An important theorem in harmonic analysis connects the
commutator of multiplication by a function and Calderon-Zygmund
operators and the functions of bounded mean oscillation. And as a
dual statement, it connects the Hardy space with a certain
``factorization'' of Lebesgue spaces. During these lectures we will
give proofs of these theorems using tools from dyadic harmonic
analysis. Connections with analytic function theory will be provided
and extensions to the case of weighted estimates and to the case of
multi-parameter harmonic analysis will also be discussed.
Auteur principal
M.
Brett Wick
(Washington university & Université de Nantes)