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