%0 Journal Article
%T Fourier Multipliers on Triebel-Lizorkin-Type Spaces
%A Dachun Yang
%A Wen Yuan
%A Ciqiang Zhuo
%J Journal of Function Spaces and Applications
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/431016
%X The authors study the mapping properties of Fourier multipliers, with symbols satisfying some generalized Hörmander's condition, on Triebel- Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces. To this end, the authors first establish a new characterization of these spaces via some generalized (weighted) £¿ functions, which essentially improves the known result for Triebel-Lizorkin spaces even when =0. Applying this new characterization, the authors then obtain the boundedness of Fourier multipliers on Triebel-Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces, which also give a new proof of the Sobolev embedding theorems for these spaces.
%U http://www.hindawi.com/journals/jfsa/2012/431016/