Calderón–Zygmund operators acting on generalized Carleson measure spaces
Volume 211 / 2012
Studia Mathematica 211 (2012), 231-240
MSC: Primary 42B20.
DOI: 10.4064/sm211-3-4
Abstract
We study Calderón–Zygmund operators acting on generalized Carleson measure spaces ${\rm CMO}^{\alpha ,q}_r$ and show a necessary and sufficient condition for their boundedness. The spaces ${\rm CMO}^{\alpha ,q}_r$ are a generalization of ${\rm BMO}$, and can be regarded as the duals of homogeneous Triebel–Lizorkin spaces as well.
