Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations
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Date
2018-11-20
Authors
Dao, Nguyen Anh
Trong, Nguyen Ngoc
Truong, Le Xuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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)s u = ƒ,
and
(-∆ + |x|2 + I)s u = ƒ.
Our results generalize some results by Anh and Thinh [1].
Description
Keywords
Fractional Hermite equations, Hermite-Besov-Morrey space, Molecular decomposition
Citation
Dao, N. A., Trong, N. N., & Truong, L. X. (2018). Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations. <i>Electronic Journal of Differential Equations, 2018</i>(187), pp. 1-14.
Rights
Attribution 4.0 International