TY - JOUR
T1 - Area, width, and logarithmic capacity of convex sets
AU - Barnard, Roger W.
AU - Pearce, Kent
AU - Solynin, Alexander Yu
PY - 2003/11
Y1 - 2003/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=3142708633&partnerID=8YFLogxK
U2 - 10.2140/pjm.2003.212.13
DO - 10.2140/pjm.2003.212.13
M3 - Article
AN - SCOPUS:3142708633
VL - 212
SP - 13
EP - 23
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
SN - 0030-8730
IS - 1
ER -