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