Some Weighted Estimates for Multilinear Fourier Multiplier Operators
We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces (1<r≤2). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1.2 und...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/987205 |
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| _version_ | 1850120640614367232 |
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| author | Zengyan Si |
| author_facet | Zengyan Si |
| author_sort | Zengyan Si |
| collection | DOAJ |
| description | We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces (1<r≤2). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1.2 under assumption (i) in Fujita and Tomita (2012). |
| format | Article |
| id | doaj-art-678caffa62fc416babe183f720a816c7 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-678caffa62fc416babe183f720a816c72025-08-20T02:35:19ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/987205987205Some Weighted Estimates for Multilinear Fourier Multiplier OperatorsZengyan Si0School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaWe first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces (1<r≤2). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1.2 under assumption (i) in Fujita and Tomita (2012).http://dx.doi.org/10.1155/2013/987205 |
| spellingShingle | Zengyan Si Some Weighted Estimates for Multilinear Fourier Multiplier Operators Abstract and Applied Analysis |
| title | Some Weighted Estimates for Multilinear Fourier Multiplier Operators |
| title_full | Some Weighted Estimates for Multilinear Fourier Multiplier Operators |
| title_fullStr | Some Weighted Estimates for Multilinear Fourier Multiplier Operators |
| title_full_unstemmed | Some Weighted Estimates for Multilinear Fourier Multiplier Operators |
| title_short | Some Weighted Estimates for Multilinear Fourier Multiplier Operators |
| title_sort | some weighted estimates for multilinear fourier multiplier operators |
| url | http://dx.doi.org/10.1155/2013/987205 |
| work_keys_str_mv | AT zengyansi someweightedestimatesformultilinearfouriermultiplieroperators |