Area, width, and logarithmic capacity of convex sets

Roger W. Barnard; Kent Pearce; Alexander Yu Solynin

doi:10.2140/pjm.2003.212.13

Area, width, and logarithmic capacity of convex sets

Roger W. Barnard, Kent Pearce, Alexander Yu Solynin

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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
DOIs	https://doi.org/10.2140/pjm.2003.212.13
State	Published - Nov 2003

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title = "Area, width, and logarithmic capacity of convex sets",

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.",

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