The Gradient of a Solution of the Poisson Equation in the Unit Ball and Related Operators. Issue 3 (1st September 2017)

• Record Type: Journal Article
• Authors: Kalaj, David; Vujadinovic, Djordjije
• Is Part Of: Canadian mathematical bulletin =. Volume 60:Issue 3(2017)
• Page Start: 536
• Page End: 545
• Publication Date: 2017-09-01
• Subjects: 35J05 -- 47G10; Möbius transformation -- Poisson equation -- Newtonian potential -- Cauchy transform -- Bessel function; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/CMB-2017-020-7
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: In this paper we determine the ${{L}^{1}}\to {{L}^{1}}$ and ${{L}^{\infty }}\to {{L}^{\infty }}$ norms of an integral operator $\mathcal{N}$ related to the gradient of the solution of Poisson equation in the unit ball with vanishing boundary data in sense of distributions.