Reverse Triangle Inequalities for Riesz Potentials and Connections with Polarization

We study reverse triangle inequalities for Riesz potentials and their connection with polarization. This work generalizes inequalities for sup norms of products of polynomials, and reverse triangle inequalities for logarithmic potentials. The main tool used in the proofs is the representation for a...

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Bibliographic Details
Main Authors Pritsker, I. E, Saff, E. B, Wise, W
Format Journal Article
LanguageEnglish
Published 23.07.2013
Subjects
Mathematics - Classical Analysis and ODEs
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Summary:We study reverse triangle inequalities for Riesz potentials and their connection with polarization. This work generalizes inequalities for sup norms of products of polynomials, and reverse triangle inequalities for logarithmic potentials. The main tool used in the proofs is the representation for a power of the farthest distance function as a Riesz potential of a unit Borel measure.
DOI:10.48550/arxiv.1307.6205