Generalized carleson measure spaces and their applications

Chin Cheng Lin, Kunchuan Wang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We introduce the generalized Carleson measure spaces CMO r α,q that extend BMO. Using Frazier and Jawerth's ψ-transform and sequence spaces, we show that, for α ∈ ℝ and 0 < p ≤ 1, the duals of homogeneous Triebel-Lizorkin spaces F p α,q for 1 < q < ∞ and 0 < q < 1 are CMO -αq' (q'/p)-(q'/q) and CMO r -α+ (n/p)-n,∞ (for any r ∈ ℝ), respectively. As applications, we give the necessary and sufficient conditions for the boundedness of wavelet multipliers and paraproduct operators acting on homogeneous Triebel-Lizorkin spaces.

Original languageEnglish
Article number879073
JournalAbstract and Applied Analysis
StatePublished - 2012


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