Arkiv för Matematik

Volume 58 (2020)

Number 2

A note on the Coifman–Fefferman and Fefferman–Stein inequalities

Pages: 357 – 367

DOI: https://dx.doi.org/10.4310/ARKIV.2020.v58.n2.a7

Author

Andrei K. Lerner (Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel)

Abstract

A condition on a Banach function space $X$ is given under which the Coifman–Fefferman and Fefferman–Stein inequalities on $X$ are equivalent.

Keywords

Coifman–Fefferman inequality, Fefferman–Stein inequality, Banach function spaces

2010 Mathematics Subject Classification

42B20, 42B25

Full Text (PDF format)

The author was supported by ISF grant No. 447/16 and ERC Starting Grant No. 713927.

Received 9 March 2020

Accepted 2 April 2020

Published 3 November 2020