Hardy-Sobolev spaces of higher order associated to Hermite operator
Let $ L = -\Delta+|x|^2 $ be the Hermite operator on $ \mathbb R^{d} $, where $ \Delta $ is the Laplacian on $ \mathbb R^{d} $. In this paper, we will consider the Hardy-Sobolev spaces of higher order associated with $ L $. We also give some new characterizations of the Hardy spaces associated with...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Communications in Analysis and Mechanics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/cam.2024037 |
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| _version_ | 1832590727108886528 |
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| author | Jizheng Huang Shuangshuang Ying |
| author_facet | Jizheng Huang Shuangshuang Ying |
| author_sort | Jizheng Huang |
| collection | DOAJ |
| description | Let $ L = -\Delta+|x|^2 $ be the Hermite operator on $ \mathbb R^{d} $, where $ \Delta $ is the Laplacian on $ \mathbb R^{d} $. In this paper, we will consider the Hardy-Sobolev spaces of higher order associated with $ L $. We also give some new characterizations of the Hardy spaces associated with $ L $. |
| format | Article |
| id | doaj-art-1c3c5509e51944f79e77b308956e5184 |
| institution | Kabale University |
| issn | 2836-3310 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Communications in Analysis and Mechanics |
| spelling | doaj-art-1c3c5509e51944f79e77b308956e51842025-01-23T07:55:55ZengAIMS PressCommunications in Analysis and Mechanics2836-33102024-11-0116485887110.3934/cam.2024037Hardy-Sobolev spaces of higher order associated to Hermite operatorJizheng Huang0Shuangshuang Ying1Key Laboratory of Mathematics and Information Networks(Ministry of Education) and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R.ChinaKey Laboratory of Mathematics and Information Networks(Ministry of Education) and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R.ChinaLet $ L = -\Delta+|x|^2 $ be the Hermite operator on $ \mathbb R^{d} $, where $ \Delta $ is the Laplacian on $ \mathbb R^{d} $. In this paper, we will consider the Hardy-Sobolev spaces of higher order associated with $ L $. We also give some new characterizations of the Hardy spaces associated with $ L $.https://www.aimspress.com/article/doi/10.3934/cam.2024037hardy spacesriesz transformhardy-sobolev spaceshermite operator |
| spellingShingle | Jizheng Huang Shuangshuang Ying Hardy-Sobolev spaces of higher order associated to Hermite operator Communications in Analysis and Mechanics hardy spaces riesz transform hardy-sobolev spaces hermite operator |
| title | Hardy-Sobolev spaces of higher order associated to Hermite operator |
| title_full | Hardy-Sobolev spaces of higher order associated to Hermite operator |
| title_fullStr | Hardy-Sobolev spaces of higher order associated to Hermite operator |
| title_full_unstemmed | Hardy-Sobolev spaces of higher order associated to Hermite operator |
| title_short | Hardy-Sobolev spaces of higher order associated to Hermite operator |
| title_sort | hardy sobolev spaces of higher order associated to hermite operator |
| topic | hardy spaces riesz transform hardy-sobolev spaces hermite operator |
| url | https://www.aimspress.com/article/doi/10.3934/cam.2024037 |
| work_keys_str_mv | AT jizhenghuang hardysobolevspacesofhigherorderassociatedtohermiteoperator AT shuangshuangying hardysobolevspacesofhigherorderassociatedtohermiteoperator |