Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups
Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition. It is shown that the scale of these spaces is independent of the choice of Littlewood-Paley-type decomposition and the sub-Laplacian used for the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/475103 |
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| Summary: | Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on
stratified Lie groups in terms of Littlewood-Paley-type decomposition. It is shown
that the scale of these spaces is independent of the choice of Littlewood-Paley-type
decomposition and the sub-Laplacian used for the construction of the decomposition.
Some basic properties of these spaces are given. As the main result of this paper,
boundedness of a class of singular integral operators on these function spaces is obtained. |
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| ISSN: | 0972-6802 1758-4965 |