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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1849408848861855744 |
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| author | Guorong Hu |
| author_facet | Guorong Hu |
| author_sort | Guorong Hu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7f1fb075d2da481d852bb122d7bbf528 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-7f1fb075d2da481d852bb122d7bbf5282025-08-20T03:35:40ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/475103475103Homogeneous Triebel-Lizorkin Spaces on Stratified Lie GroupsGuorong Hu0Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Mekuro-ku, Tokyo 153-8914, JapanHomogeneous 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.http://dx.doi.org/10.1155/2013/475103 |
| spellingShingle | Guorong Hu Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups Journal of Function Spaces and Applications |
| title | Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups |
| title_full | Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups |
| title_fullStr | Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups |
| title_full_unstemmed | Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups |
| title_short | Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups |
| title_sort | homogeneous triebel lizorkin spaces on stratified lie groups |
| url | http://dx.doi.org/10.1155/2013/475103 |
| work_keys_str_mv | AT guoronghu homogeneoustriebellizorkinspacesonstratifiedliegroups |