Riesz transforms on the Hardy space associated with generalized Schrödinger operators
Abstract Let L=−Δ+μ $\mathcal{L}=-\Delta +\mu $ be a generalized Schrödinger operator, where the measure μ is a nonnegative Radon measure. In this paper, we establish the molecular characterization of the Hardy type space HL1(Rn) $H^{1}_{\mathcal{L}}(\mathbb{R}^{n})$ associated with L $\mathcal{L}$....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2126-3 |
| _version_ | 1818851910584631296 |
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| author | Yixin Wang Pengtao Li |
| author_facet | Yixin Wang Pengtao Li |
| author_sort | Yixin Wang |
| collection | DOAJ |
| description | Abstract Let L=−Δ+μ $\mathcal{L}=-\Delta +\mu $ be a generalized Schrödinger operator, where the measure μ is a nonnegative Radon measure. In this paper, we establish the molecular characterization of the Hardy type space HL1(Rn) $H^{1}_{\mathcal{L}}(\mathbb{R}^{n})$ associated with L $\mathcal{L}$. As applications, we obtain the HL1 $H^{1}_{\mathcal{L}}$-boundedness of Riesz transforms and the imaginary power related to L $\mathcal{L}$. |
| first_indexed | 2024-12-19T07:12:32Z |
| format | Article |
| id | doaj.art-77db8d96b81d4c2cb077620b06993a2f |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T07:12:32Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-77db8d96b81d4c2cb077620b06993a2f2022-12-21T20:31:10ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-06-012019112010.1186/s13660-019-2126-3Riesz transforms on the Hardy space associated with generalized Schrödinger operatorsYixin Wang0Pengtao Li1College of Mathematics and Statistics, Qingdao UniversityCollege of Mathematics and Statistics, Qingdao UniversityAbstract Let L=−Δ+μ $\mathcal{L}=-\Delta +\mu $ be a generalized Schrödinger operator, where the measure μ is a nonnegative Radon measure. In this paper, we establish the molecular characterization of the Hardy type space HL1(Rn) $H^{1}_{\mathcal{L}}(\mathbb{R}^{n})$ associated with L $\mathcal{L}$. As applications, we obtain the HL1 $H^{1}_{\mathcal{L}}$-boundedness of Riesz transforms and the imaginary power related to L $\mathcal{L}$.http://link.springer.com/article/10.1186/s13660-019-2126-3Generalized Schrödinger operatorHardy type spaceRiesz transformMolecular decomposition |
| spellingShingle | Yixin Wang Pengtao Li Riesz transforms on the Hardy space associated with generalized Schrödinger operators Journal of Inequalities and Applications Generalized Schrödinger operator Hardy type space Riesz transform Molecular decomposition |
| title | Riesz transforms on the Hardy space associated with generalized Schrödinger operators |
| title_full | Riesz transforms on the Hardy space associated with generalized Schrödinger operators |
| title_fullStr | Riesz transforms on the Hardy space associated with generalized Schrödinger operators |
| title_full_unstemmed | Riesz transforms on the Hardy space associated with generalized Schrödinger operators |
| title_short | Riesz transforms on the Hardy space associated with generalized Schrödinger operators |
| title_sort | riesz transforms on the hardy space associated with generalized schrodinger operators |
| topic | Generalized Schrödinger operator Hardy type space Riesz transform Molecular decomposition |
| url | http://link.springer.com/article/10.1186/s13660-019-2126-3 |
| work_keys_str_mv | AT yixinwang riesztransformsonthehardyspaceassociatedwithgeneralizedschrodingeroperators AT pengtaoli riesztransformsonthehardyspaceassociatedwithgeneralizedschrodingeroperators |