Boundedness of multilinear operators on Triebel-Lizorkin spaces
The purpose of this paper is to study the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood-Paley operator, Marcinkiewicz integral, and Bochner-Riesz operator.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120430147X |
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| _version_ | 1832553315079028736 |
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| author | Liu Lanzhe |
| author_facet | Liu Lanzhe |
| author_sort | Liu Lanzhe |
| collection | DOAJ |
| description | The purpose of this paper is to study the boundedness in the
context of Triebel-Lizorkin spaces for some multilinear operators
related to certain convolution operators. The operators include
Littlewood-Paley operator, Marcinkiewicz integral, and Bochner-Riesz operator. |
| format | Article |
| id | doaj-art-17180353cbb0497d86387e541ad64560 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-17180353cbb0497d86387e541ad645602025-02-03T05:54:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004525927110.1155/S016117120430147XBoundedness of multilinear operators on Triebel-Lizorkin spacesLiu Lanzhe0Department of Applied Mathematics, Hunan University, Changsha 410082, ChinaThe purpose of this paper is to study the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood-Paley operator, Marcinkiewicz integral, and Bochner-Riesz operator.http://dx.doi.org/10.1155/S016117120430147X |
| spellingShingle | Liu Lanzhe Boundedness of multilinear operators on Triebel-Lizorkin spaces International Journal of Mathematics and Mathematical Sciences |
| title | Boundedness of multilinear operators on Triebel-Lizorkin spaces |
| title_full | Boundedness of multilinear operators on Triebel-Lizorkin spaces |
| title_fullStr | Boundedness of multilinear operators on Triebel-Lizorkin spaces |
| title_full_unstemmed | Boundedness of multilinear operators on Triebel-Lizorkin spaces |
| title_short | Boundedness of multilinear operators on Triebel-Lizorkin spaces |
| title_sort | boundedness of multilinear operators on triebel lizorkin spaces |
| url | http://dx.doi.org/10.1155/S016117120430147X |
| work_keys_str_mv | AT liulanzhe boundednessofmultilinearoperatorsontriebellizorkinspaces |