Commutators with Lipschitz Functions and Nonintegral Operators
Let T be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough. In this paper, we consider the boundedness of commutators with T and Lipschitz functions. Applications include spectral multipliers of self-adjoint, positive op...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/178961 |
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| _version_ | 1832558051580706816 |
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| author | Peizhu Xie Ruming Gong |
| author_facet | Peizhu Xie Ruming Gong |
| author_sort | Peizhu Xie |
| collection | DOAJ |
| description | Let T be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough. In this paper, we consider the boundedness of commutators with T and Lipschitz functions. Applications include spectral multipliers of self-adjoint, positive operators, Riesz transforms of second-order divergence form operators, and fractional power of elliptic operators. |
| format | Article |
| id | doaj-art-a186c75e2eeb4fe0bda673fdf23d35bf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a186c75e2eeb4fe0bda673fdf23d35bf2025-02-03T01:33:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/178961178961Commutators with Lipschitz Functions and Nonintegral OperatorsPeizhu Xie0Ruming Gong1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaLet T be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough. In this paper, we consider the boundedness of commutators with T and Lipschitz functions. Applications include spectral multipliers of self-adjoint, positive operators, Riesz transforms of second-order divergence form operators, and fractional power of elliptic operators.http://dx.doi.org/10.1155/2013/178961 |
| spellingShingle | Peizhu Xie Ruming Gong Commutators with Lipschitz Functions and Nonintegral Operators Journal of Applied Mathematics |
| title | Commutators with Lipschitz Functions and Nonintegral Operators |
| title_full | Commutators with Lipschitz Functions and Nonintegral Operators |
| title_fullStr | Commutators with Lipschitz Functions and Nonintegral Operators |
| title_full_unstemmed | Commutators with Lipschitz Functions and Nonintegral Operators |
| title_short | Commutators with Lipschitz Functions and Nonintegral Operators |
| title_sort | commutators with lipschitz functions and nonintegral operators |
| url | http://dx.doi.org/10.1155/2013/178961 |
| work_keys_str_mv | AT peizhuxie commutatorswithlipschitzfunctionsandnonintegraloperators AT ruminggong commutatorswithlipschitzfunctionsandnonintegraloperators |