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.
|Number of pages||11|
|Journal||Pacific Journal of Mathematics|
|State||Published - Nov 1 2003|