Non-linear Plank Problems and polynomial inequalities
Functional Analysis
2016-06-07 v3
Abstract
We study lower bounds for the norm of the product of polynomials and their applications to the so called \emph{plank problem.} We are particularly interested in polynomials on finite dimensional Banach spaces, in which case our results improve previous works when the number of polynomials is large.
Cite
@article{arxiv.1507.02316,
title = {Non-linear Plank Problems and polynomial inequalities},
author = {Daniel Carando and Damian Pinasco and Jorge Tomás Rodríguez},
journal= {arXiv preprint arXiv:1507.02316},
year = {2016}
}
Comments
19 pages