We study Calderón-Zygmund operators acting on generalized Carleson measure spaces CMO α, q r and show a necessary and sufficient condition for their boundedness. The spaces CMO α, q r are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.
- Calderón-Zygmund operator
- Generalized Carleson measure space
- Triebel-Lizorkin space