Boundedness of Riesz transforms on weighted Carleson measure spaces
Volume 209 / 2012
Studia Mathematica 209 (2012), 169-187
MSC: Primary 42B20.
DOI: 10.4064/sm209-2-5
Abstract
Let $w$ be in the Muckenhoupt $A_\infty $ weight class. We show that the Riesz transforms are bounded on the weighted Carleson measure space $\mathop {\rm CMO}\nolimits _w^p$, the dual of the weighted Hardy space $H^p_w$, $0< p\le 1$.
