# Bellman functions providing positive and negative results in weighted singular integrals theory

• Alexander Volberg (Michigan State University)
• Tuesday 04 February 2014, 16:00-17:00
• Nuffield G18.

Note this talk is scheduled on a Tuesday instead of a Wednesday

We will explain the Bellman function approach to weighted singular integrals. We show how this technique (non-linear PDE at heart) allows us to get many recent results in the theory. Such as the solution of $A_2$ conjecture (and $A_2—A_\infty$ variant), the solution of the bump conjecture (and its one-sided variant), and also new results about entropy and weighted estimates. We also show how this PDE approach allows us to build counterexamples to weak Muckenhoupt conjecture and some of its relatives

This talk is part of the Analysis Seminar series.