A new \(A_p\)-\(A_\infty\) estimate for Calder\'on-Zygmund operators in spaces of homogeneous type

Abstract

In this note, we study the \(A_p\)-\(A_\infty\) estimate for Calder\'on-Zygmund operators in terms of the weak \(A_\infty\) characteristics in spaces of homogeneous type. The weak \(A_\infty\) class was introduced recently by Anderson, Hyt\"onen and Tapiola. Our estimate is new even in the Euclidean space.