N-harmonic extensions of weighted integrable distributions. Issue 3 (2006)

• Record Type: Journal Article
• Authors: Alvarez Alvarez, Josefina Josefina; Guzmán-Partida Guzmán-Partida, Martha Martha; Pérez-Esteva Pérez-Esteva, Salvador Salvador
• Other Names: Triebel Triebel Hans Hans Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 4:Issue 3(2006)
• Page Start: 305
• Page End: 327
• Publication Date: 2006
• Subjects: S' -convolution -- weighted distribution spaces -- n-harmonicextensions of distributions; Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2006/165314
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We obtain n -harmonic extensions to the Cartesian product of n copies of the upper half-plane, of distributions in the weighted space w 1 2 ⋯ w n 2 D L 1 ′, which is known to be the optimal space of tempered distributions that are S ′ -convolvable with a natural product domain version of the Poisson kernel.