Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals
We introduce the inhomogeneous multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals via the Littlewood-Paley-Stein theory. We establish difference characterizations and Peetre's maximal function characterizations of these spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/275791 |
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| _version_ | 1832552139352702976 |
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| author | Xinfeng Wu Zongguang Liu |
| author_facet | Xinfeng Wu Zongguang Liu |
| author_sort | Xinfeng Wu |
| collection | DOAJ |
| description | We introduce the inhomogeneous multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals via the Littlewood-Paley-Stein theory. We establish difference characterizations and Peetre's maximal function characterizations of these spaces. |
| format | Article |
| id | doaj-art-14f3eaddab394a7e8d8244a8c6942cc7 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-14f3eaddab394a7e8d8244a8c6942cc72025-02-03T05:59:20ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/275791275791Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular IntegralsXinfeng Wu0Zongguang Liu1Department of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, ChinaDepartment of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, ChinaWe introduce the inhomogeneous multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals via the Littlewood-Paley-Stein theory. We establish difference characterizations and Peetre's maximal function characterizations of these spaces.http://dx.doi.org/10.1155/2012/275791 |
| spellingShingle | Xinfeng Wu Zongguang Liu Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals Journal of Function Spaces and Applications |
| title | Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals |
| title_full | Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals |
| title_fullStr | Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals |
| title_full_unstemmed | Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals |
| title_short | Characterizations of Multiparameter Besov and Triebel-Lizorkin Spaces Associated with Flag Singular Integrals |
| title_sort | characterizations of multiparameter besov and triebel lizorkin spaces associated with flag singular integrals |
| url | http://dx.doi.org/10.1155/2012/275791 |
| work_keys_str_mv | AT xinfengwu characterizationsofmultiparameterbesovandtriebellizorkinspacesassociatedwithflagsingularintegrals AT zongguangliu characterizationsofmultiparameterbesovandtriebellizorkinspacesassociatedwithflagsingularintegrals |