Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces

Authors
Cao, Wei Chen, Jie Cheng Fan, Da Shan
Citation
Cao, Wei et al., Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces, Acta mathematica Sinica. English series (Print) , 26(11), 2010, pp. 2071-2084
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
11
Year of publication
2010
Pages
2071 - 2084
Database
ACNP
SICI code
Abstract
In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier m .,.,. . 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 . .,q p (.n) for different p, q.