Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations
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 Herm...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-11-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/187/abstr.html |
| Summary: | 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]. |
|---|---|
| ISSN: | 1072-6691 |