TY - JOUR

T1 - Area, Width, And Logarithmic Capacity Of Convex Sets

AU - Barnard, Roger

AU - Pearce, Kent

AU - Solynin, Alexander

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

M3 - Article

SP - 13

EP - 23

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

ER -