Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590971 | Journal of Functional Analysis | 2012 | 17 Pages |
Abstract
In this article we present a new proof of a sharp Reverse Hölder Inequality for A∞A∞ weights. Then we derive two applications: a precise open property of Muckenhoupt classes and, as a consequence of this last result, we obtain a simple proof of a sharp weighted bound for the Hardy–Littlewood maximal function involving A∞A∞ constants:‖M‖Lp(w)⩽c(1p−1[w]Ap[σ]A∞)1/p, where 1
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tuomas Hytönen, Carlos Pérez, Ezequiel Rela,