A Class of Unbounded Fourier Multipliers on the Unit Complex Ball
We introduce a class of Fourier multiplier operators Mb on n-complex unit sphere, where the symbol b∈Hs(Sω). We obtained the Sobolev boundedness of Mb. Our result implies that the operators Mb take a role of fractional differential operators on ∂𝔹.
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| Main Authors: | , , |
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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/10.1155/2014/602121 |
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| _version_ | 1832563937668759552 |
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| author | Pengtao Li Jianhao Lv Tao Qian |
| author_facet | Pengtao Li Jianhao Lv Tao Qian |
| author_sort | Pengtao Li |
| collection | DOAJ |
| description | We introduce a class of Fourier multiplier operators Mb on n-complex unit sphere, where the symbol b∈Hs(Sω). We obtained the Sobolev boundedness of Mb. Our result implies that the operators Mb take a role of fractional differential operators on ∂𝔹. |
| format | Article |
| id | doaj-art-b9f425a07c87427a9b807bfc0d292257 |
| 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-b9f425a07c87427a9b807bfc0d2922572025-02-03T01:12:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/602121602121A Class of Unbounded Fourier Multipliers on the Unit Complex BallPengtao Li0Jianhao Lv1Tao Qian2Department of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaFaculty of Science and Technology, University of Macau, MacauFaculty of Science and Technology, University of Macau, MacauWe introduce a class of Fourier multiplier operators Mb on n-complex unit sphere, where the symbol b∈Hs(Sω). We obtained the Sobolev boundedness of Mb. Our result implies that the operators Mb take a role of fractional differential operators on ∂𝔹.http://dx.doi.org/10.1155/2014/602121 |
| spellingShingle | Pengtao Li Jianhao Lv Tao Qian A Class of Unbounded Fourier Multipliers on the Unit Complex Ball Abstract and Applied Analysis |
| title | A Class of Unbounded Fourier Multipliers on the Unit Complex Ball |
| title_full | A Class of Unbounded Fourier Multipliers on the Unit Complex Ball |
| title_fullStr | A Class of Unbounded Fourier Multipliers on the Unit Complex Ball |
| title_full_unstemmed | A Class of Unbounded Fourier Multipliers on the Unit Complex Ball |
| title_short | A Class of Unbounded Fourier Multipliers on the Unit Complex Ball |
| title_sort | class of unbounded fourier multipliers on the unit complex ball |
| url | http://dx.doi.org/10.1155/2014/602121 |
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