Matrix Weights, Littlewood Paley Inequalities and the Riesz Transforms

Authors

Nicholas Boros, Olivet Nazarene UniversityFollow
Nikolaos Pattakos, Karlsruhe Institute of TechnologyFollow

Document Type

Article

Publication Date

2016

Scholarship Domain(s)

Scholarship of Discovery

Abstract

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.

Comments

Paper presented at Stefan Banach International Mathematical Center, Bedlewo, Poland, August 2016.

Recommended Citation

Boros, Nicholas and Pattakos, Nikolaos, "Matrix Weights, Littlewood Paley Inequalities and the Riesz Transforms" (2016). Faculty Scholarship – Mathematics. 5.
https://digitalcommons.olivet.edu/math_facp/5

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.