On the embedding of A1 into A∞

Guillermo Rey

doi:10.1090/proc/13087

On the embedding of A₁ into A_∞

Guillermo Rey

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We give a quantitative embedding of the Muckenhoupt class A₁ into A_∞. In particular, we show how ϵ depends on [w]A₁ in the inequality which characterizes A∞ weights: [Formula presented] where Q is any dyadic cube and E is any subset of Q. This embedding yields a sharp reverse-Hölder inequality as an easy corollary.

Original language	English (US)
Pages (from-to)	4455-4470
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	10
DOIs	https://doi.org/10.1090/proc/13087
State	Published - Oct 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.

Publisher link

10.1090/proc/13087

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