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.

Access

10.1090/proc/13087

OpenUrl availability

Full text

Cite this

@article{43c202313c694a4894c11eef12810b6b,

title = "On the embedding of A1 into A∞",

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-H{\"o}lder inequality as an easy corollary.",

author = "Guillermo Rey",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

month = oct,

doi = "10.1090/proc/13087",

language = "English (US)",

volume = "144",

pages = "4455--4470",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}

TY - JOUR

T1 - On the embedding of A1 into A∞

AU - Rey, Guillermo

PY - 2016/10

Y1 - 2016/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84982933478&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84982933478&partnerID=8YFLogxK

U2 - 10.1090/proc/13087

DO - 10.1090/proc/13087

M3 - Article

AN - SCOPUS:84982933478

SN - 0002-9939

VL - 144

SP - 4455

EP - 4470

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -