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 in:Journal of mathematical analysis and applications 2014-02, Vol.410 (2), p.868-881
Main Authors: Pritsker, I.E., Saff, E.B., Wise, W.
Format: Article
Language:English
Subjects:
Chebyshev constant
Farthest distance function
Polarization inequality
Riesz decomposition
Riesz potential
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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