Transfinite diameter, Chebyshev constant and energy on locally compact spaces

Simple item page
dc.creatorFarkas, Balint
dc.creatorNagy, Bela
dc.date2007-04-06
dc.date.accessioned2026-07-07T07:55:33Z
dc.date.available2026-07-07T07:55:33Z
dc.descriptionWe study the relationship between transfinite diameter, Chebyshev constant and Wiener energy in the abstract linear potential analytic setting pioneered by Choquet, Fuglede and Ohtsuka. It turns out that, whenever the potential theoretic kernel has the maximum principle, then all these quantities are equal for all compact sets. For continuous kernels even the converse statement is true: if the Chebyshev constant of any compact set coincides with its transfinite diameter, the kernel must satisfy the maximum principle. An abundance of examples is provided to show the sharpness of the results.
dc.identifierhttps://arxiv.org/abs/0704.0859
dc.identifierhttp://arxiv.org/abs/0704.0859
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127007
dc.subjectClassical Analysis and ODEs
dc.subject31C15; 28A12, 54D45
dc.titleTransfinite diameter, Chebyshev constant and energy on locally compact spaces
dc.typetext

Files

Collections

arXiv