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 language | English |
|---|---|
| Pages (from-to) | 13-23 |
| Number of pages | 11 |
| Journal | Pacific Journal of Mathematics |
| Volume | 212 |
| Issue number | 1 |
| State | Published - Nov 1 2003 |
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Barnard, R. W., Pearce, K., & Solynin, A. Y. (2003). Area, width, and logarithmic capacity of convex sets. Pacific Journal of Mathematics, 212(1), 13-23.