A Dyadic Gehring Inequality in Spaces of Homogeneous Type and Applications

2016/06/10 by Theresa C. Anderson, Anderson, Theresa C., David E. Weirich +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1606.03461

arxiv created 2017/10/23 · arxiv updated 2017/10/25

Abstract

We state a version of Gehring's self improvement Theorem for reverse \Holder weights which is valid for dyadic cubes over spaces of homogeneous type and explore some of the consequences and applications.

Related

• Weak A_∞ weights and weak Reverse Hölder property in a space of homogeneous type
• Dyadic cubes in spaces of homogeneous type
• Dyadic weights on Rⁿ and reverse Holder inequalities
• The Gehring Lemma in Metric Spaces
• Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type