Area, Width, And Logarithmic Capacity Of Convex Sets

Roger Barnard, Kent Pearce, Alexander Solynin

Research output: Contribution to journalArticlepeer-review

Abstract

For a planar convex compact set E, we describe the mutual 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 orthogonal projection onto a given axis of an arbitrary compact set, connected or not.
Original languageEnglish
Pages (from-to)13-23
JournalPacific Journal of Mathematics
StatePublished - 2003

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