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
Published inJournal of mathematical analysis and applications Vol. 410; no. 2; pp. 868 - 881
Main Authors Pritsker, I.E., Saff, E.B., Wise, W.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2014
Subjects
Chebyshev constant
Farthest distance function
Polarization inequality
Riesz decomposition
Riesz potential
Farthest distance function
Polarization inequality
Chebyshev constant
Riesz potential
Riesz decomposition
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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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2013.09.002