Dao, Nguyen AnhTrong, Nguyen NgocTruong, Le Xuan2022-03-102022-03-102018-11-20Dao, 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. 1-14.1072-6691https://hdl.handle.net/10877/15483The 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].Text14 pages1 file (.pdf)enAttribution 4.0 InternationalFractional Hermite equationsHermite-Besov-Morrey spaceMolecular decompositionArticle