Fourier multipliers on Triebel-Lizorkin-type spaces (Q416323)

First, the authors recall new definitions of Triebel-Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces. Then they study mapping properties of Fourier multipliers, with symbols satisfying a~generalized Hörmander's condition, on such spaces. As an application of their results, they give new direct proofs of the Sobolev embedding theorems on these spaces.