Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss
By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make no additional assumptions on the quasi-metric or the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/164624 |
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| _version_ | 1832553515914887168 |
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| author | Yanchang Han Fanghui Liao Zongguang Liu |
| author_facet | Yanchang Han Fanghui Liao Zongguang Liu |
| author_sort | Yanchang Han |
| collection | DOAJ |
| description | By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of
homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make no additional assumptions on the quasi-metric or the doubling measure. Hence, the results of this paper extend earlier related results to a more general setting. |
| format | Article |
| id | doaj-art-04c83eaabf13408e8506175c090eba3e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-04c83eaabf13408e8506175c090eba3e2025-02-03T05:53:48ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/164624164624Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and WeissYanchang Han0Fanghui Liao1Zongguang Liu2School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaDepartment of Mathematics, China University of Mining & Technology, Beijing 100083, ChinaDepartment of Mathematics, China University of Mining & Technology, Beijing 100083, ChinaBy applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make no additional assumptions on the quasi-metric or the doubling measure. Hence, the results of this paper extend earlier related results to a more general setting.http://dx.doi.org/10.1155/2014/164624 |
| spellingShingle | Yanchang Han Fanghui Liao Zongguang Liu Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss Abstract and Applied Analysis |
| title | Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss |
| title_full | Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss |
| title_fullStr | Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss |
| title_full_unstemmed | Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss |
| title_short | Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss |
| title_sort | pointwise multipliers on spaces of homogeneous type in the sense of coifman and weiss |
| url | http://dx.doi.org/10.1155/2014/164624 |
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