A Capacity Associated with the Weighted Lebesgue Space and Its Applications. (28th February 2022)

• Record Type: Journal Article
• Authors: Li, Guoliang; Wang, Guanglan; Zhang, Lei
• Other Names: Xu Jingshi Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-02-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/1257963
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we focus on a further study of the weighted Lebesgue capacity associated with the following fractional heat equation: ∂ t + − Δ x α u t, x = 0, ∀ α, t, x ∈ 0, 1 × 0, ∞ × ℝ n, u 0, x = f x, ∀ x ∈ ℝ n . . More properties of that capacity are explored, and applications to a trace inequality for the weak solution of the equation are considered.