fourier multipliers on triebel-lizorkin-type spaces
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2012
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Abstract
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)
gλ∗ functions, which essentially improves the known result for Triebel-Lizorkin spaces even when τ=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.
| Reference Key |
yang2012journalfourier
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|---|---|
| Authors | ;Dachun Yang;Wen Yuan;Ciqiang Zhuo |
| Journal | Journal of sex research |
| Year | 2012 |
| DOI |
10.1155/2012/431016
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| URL | |
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