Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations
| dc.contributor.author | Dao, Nguyen Anh (  0000-0003-2854-3069 ) | |
| dc.contributor.author | Trong, Nguyen Ngoc ( ) | |
| dc.contributor.author | Truong, Le Xuan ( ) | |
| dc.date.accessioned | 2022-03-10T17:11:56Z | |
| dc.date.available | 2022-03-10T17:11:56Z | |
| dc.date.issued | 2018-11-20 | |
| dc.identifier.citation | Dao, N. A., Trong, N. N., & Truong, L. X. (2018). Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations. Electronic Journal of Differential Equations, 2018(187), pp. 1-14. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15483 | |
| dc.description.abstract | The purpose of this article is to establish the molecular decomposition of the homogeneous Besov-Morrey spaces associated with the Hermite operator ℍ = -∆ + |x|2 on the Euclidean space ℝn. Particularly, we obtain some estimates for the operator ℍ on the Hermite-Besov-Morrey spaces and the regularity results to the fractional Hermite equations (-∆ + |x|2)su = ƒ, and (-∆ + |x|2 + I)su = ƒ. Our results generalize some results by Anh and Thinh [1]. | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional Hermite equations | en_US |
| dc.subject | Hermite-Besov-Morrey space | en_US |
| dc.subject | Molecular decomposition | en_US |
| dc.title | Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
