Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces
- First Online:
- Cite this article as:
- Cao, W., Chen, J.C. & Fan, D.S. Acta. Math. Sin.-English Ser. (2010) 26: 2071. doi:10.1007/s10114-010-9573-6
- 53 Downloads
In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier mΩ,α,β. This operator was initially studied by Wainger and by Fefferman-Stein in the Lebesgue spaces. We obtain the boundedness results on the Triebel-Lizorkin space Ḟpα,q (ℝn) for different p, q.