Sharp dyadic estimates via non-infinitesimal Bellman majorants

Leonid Slavin, Brandon Sweeting
October, 2023

Abstract

We obtain new sharp estimates for a family of Carleson sequences related to dyadic $A_2$ weights. The proof uses Bellman functions, but unlike the typical situation found in literature, in our setting these functions do not have infinitesimal extremal splits and do no arise as solutions of a PDE. This is a continuation of the work of the first author.

Type
Report
Muckenhoupt Weights Carleson Sequences Bellman Functions
Brandon Sweeting
Brandon Sweeting
NSF MPS-Ascend Postdoctoral Research Fellow, Mathematics

My current research interests are in harmonic analysis, specifically weighted norm inequalities for singular integral operators and Riesz potentials in both the scalar and matrix setting.