Estimates of mass distributions from their potentials and energies

DOI10.1007/BF02384802zbMath0232.31009MaRDI QIDQ2550871

Peter Sjögren

Publication date: 1972

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (13)

Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy ⋮ On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space ⋮ Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\) ⋮ Erdős-Turán theorems on a system of Jordan curves and arcs ⋮ Optimal logarithmic energy points on the unit sphere ⋮ On a new method for constructing good point sets on spheres ⋮ A local discrepancy theorem ⋮ Distribution of algebraic numbers ⋮ Distribution of point charges with small discrete energy ⋮ Erdős-Turán type theorems on quasiconformal curves and arcs ⋮ On the regularity of the distribution of the Fekete points of a compact surface in \(R^n\) ⋮ Local Properties of Riesz Minimal Energy Configurations and Equilibrium Measures ⋮ A general discrepancy theorem

Cites Work

• On the closure of characters and the zeros of entire functions
• Une condition de Dini-Lipschitz dans la theorie du potentiel
• On the equilibrium of signed measures
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
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