This is an announcement for the paper "A subexponential vector-valued Bohnenblust-Hille type inequality" by N. Albuquerque, D. Nunez-Alarcon and D. M. Serrano-Rodríguez.

Abstract: Bayart, Pellegrino and Seoane recently proved that the polynomial Bohnenblust--Hille inequality for complex scalars is subexponential. We show that a vector valued polynomial Bohnenblust-Hille inequality on complex Banach lattices is also subexponential for some special cases. Our main result result recovers the best known constants of the classical polynomial inequality provided in \cite{bps}.

Archive classification: math.FA

Submitted from: ngalbqrq@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1405.1204

or

http://arXiv.org/abs/1405.1204