Gradient of solution of the Poisson equation in the unit ball and related operators

2017/02/03 by David Kalaj, Kalaj, David, Djordjije Vujadinović +1
Mathematics · #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1702.00929

openalex publication_date 2017/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we determine the L¹→ L¹ and L^∞→ L^∞ norms of an integral operator N related to the gradient of the solution of Poisson equation in the unit ball with vanishing boundary data in sense of distributions.

Citations

• Estimate of the second term in the spectral asymptotic of Cauchy transform

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