Generalized Carleson Measure Spaces and Their Applications

Abstract EN

We introduce the generalized Carleson measure spaces CMOrα,q that extend BMO.

Using Frazier and Jawerth's φ-transform and sequence spaces, we show that, for α∈R and 0

As applications, we give the necessary and sufficient conditions for the boundedness of wavelet multipliers and paraproduct operators acting on homogeneous Triebel-Lizorkin spaces.