Article contents
The Gradient of a Solution of the Poisson Equation in the Unit Ball and Related Operators
Published online by Cambridge University Press: 20 November 2018
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.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2017
References
- 3
- Cited by