Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents
Abstract In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable exponents, we present their approxim...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1759-y |
| _version_ | 1818941515972476928 |
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| author | Jingshi Xu Jinlai Zhu |
| author_facet | Jingshi Xu Jinlai Zhu |
| author_sort | Jingshi Xu |
| collection | DOAJ |
| description | Abstract In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable exponents, we present their approximation characterization. |
| first_indexed | 2024-12-20T06:56:46Z |
| format | Article |
| id | doaj.art-460bd9c3567a4d21b18cd9d9c865893d |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-20T06:56:46Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-460bd9c3567a4d21b18cd9d9c865893d2022-12-21T19:49:19ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018112110.1186/s13660-018-1759-yEstimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponentsJingshi Xu0Jinlai Zhu1School of Mathematics and Statistics, Hainan Normal UniversitySchool of Mathematics and Statistics, Hainan Normal UniversityAbstract In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable exponents, we present their approximation characterization.http://link.springer.com/article/10.1186/s13660-018-1759-yVariable exponentTriebel–Lizorkin spaceBesov spaceBilinear pseudodifferential operator |
| spellingShingle | Jingshi Xu Jinlai Zhu Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents Journal of Inequalities and Applications Variable exponent Triebel–Lizorkin space Besov space Bilinear pseudodifferential operator |
| title | Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents |
| title_full | Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents |
| title_fullStr | Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents |
| title_full_unstemmed | Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents |
| title_short | Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents |
| title_sort | estimates of bilinear pseudodifferential operators associated to bilinear hormander classes in besov and triebel lizorkin spaces with variable exponents |
| topic | Variable exponent Triebel–Lizorkin space Besov space Bilinear pseudodifferential operator |
| url | http://link.springer.com/article/10.1186/s13660-018-1759-y |
| work_keys_str_mv | AT jingshixu estimatesofbilinearpseudodifferentialoperatorsassociatedtobilinearhormanderclassesinbesovandtriebellizorkinspaceswithvariableexponents AT jinlaizhu estimatesofbilinearpseudodifferentialoperatorsassociatedtobilinearhormanderclassesinbesovandtriebellizorkinspaceswithvariableexponents |