On the embedding of A1 into A

Guillermo Rey

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)4455-4470
Number of pages16
JournalProceedings of the American Mathematical Society
Issue number10
StatePublished - Oct 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.


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