Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces

TL;DR

This paper establishes precise weighted BMO bounds for singular integrals and demonstrates how these bounds can be extended to a broad class of Banach function spaces, enhancing understanding of endpoint behavior.

Contribution

It introduces sharp weighted BMO estimates for singular integrals and provides a method for extrapolating these estimates to Banach function spaces, advancing the theory.

Findings

Sharp weighted BMO estimates for singular integrals

Extrapolation of estimates to Banach function spaces

Enhanced understanding of endpoint behavior in harmonic analysis

Abstract

In this paper we prove sharp weighted BMO estimates for singular integrals, and we show how such estimates can be extrapolated to Banach function spaces.