Matrix Weights, Littlewood Paley Inequalities and the Riesz Transforms
Scholarship of Discovery
In the following, we will discuss matrix weighted estimates for the squares of the Riesz transforms. This is accomplished by proving a Littlewood--Paley estimate with the use of the Bellman function technique. The use of matrix weights turns out to be much more complicated than the scalar weights since the environment that we have to work in is no longer commutative.
Boros, Nicholas and Pattakos, Nikolaos, "Matrix Weights, Littlewood Paley Inequalities and the Riesz Transforms" (2016). Faculty Scholarship – Mathematics. 5.
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Paper presented at Stefan Banach International Mathematical Center, Bedlewo, Poland, August 2016.