Area, width, and logarithmic capacity of convex sets

Roger W. Barnard, Kent Pearce, Alexander Yu Solynin

Research output: Contribution to journalArticle

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Abstract

For a planar convex compact set E, we describe the mu tual range of its area, width, and logarithmic capacity. This result will follow from a more general theorem describing the mutual range of area, logarithmic capacity, and length of or thogonal projection onto a given axis of an arbitrary compact set, connected or not.

Original languageEnglish
Pages (from-to)13-23
Number of pages11
JournalPacific Journal of Mathematics
Volume212
Issue number1
StatePublished - Nov 1 2003

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