Journal
REVISTA MATEMATICA IBEROAMERICANA
Volume 36, Issue 3, Pages 791-816Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/1149
Keywords
Tridisk; retract; extension
Categories
Funding
- Iuventus Plus grant [IP2015 035174]
- National Science Foundation [DMS 156243]
Ask authors/readers for more resources
A set V in the tridisk D-3 has the polynomial extension property if for every polynomial p there is a function phi on D-3 so that parallel to phi parallel to(D3) = parallel to p parallel to(V) and phi vertical bar(V) = p vertical bar(V). We study sets V that are relatively polynomially convex and have the polynomial extension property. If V is one-dimensional, and is either algebraic, or has polynomially convex projections, we show that it is a retract. If V is two-dimensional, we show that either it is a retract, or, for any choice of the coordinate functions, it is the graph of a function of two variables.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available