| Autor: |
Nguyen Anh Dao, Nguyen Ngoc Trong, Le Xuan Truong |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2018, Iss 187,, Pp 1-14 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
The purpose of this article is to establish the molecular decomposition of the homogeneous Besov-Morrey spaces associated with the Hermite operator $\mathbb{H} = -\Delta+|x|^2$ on the Euclidean space $\mathbb{R}^n$. Particularly, we obtain some estimates for the operator $\mathbb{H}$ on the Hermite-Besov-Morrey spaces and the regularity results to the fractional Hermite equations $$ (-\Delta +|x|^2 )^su=f, $$ and $$ (-\Delta +|x|^2 +I)^su=f. $$ Our results generalize some results by Anh and Thinh [1]. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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