A Bellman function counterexample to the $A_1$ conjecture: the blow-up of the weak norm estimates of weighted singular operators

A. Reznikov; A. Volberg; F. Nazarov; V. Vasyunin

arxiv: 1506.04710 · v1 · pith:543DNNRSnew · submitted 2015-06-15 · 🧮 math.AP

A Bellman function counterexample to the A₁ conjecture: the blow-up of the weak norm estimates of weighted singular operators

F. Nazarov , A. Reznikov , V. Vasyunin , A. Volberg This is my paper

classification 🧮 math.AP

keywords estimatesoperatorssingularbellmanblow-upconjecturefunctionweak

0 comments

read the original abstract

We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture, thus strengthening the counterexamples built by Reguera--Thiele. We show a certain logarithmic blow-up for the end-point estimates of important weighted singular operators.

This paper has not been read by Pith yet.

A Bellman function counterexample to the A₁ conjecture: the blow-up of the weak norm estimates of weighted singular operators

discussion (0)