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arXiv · 1405.1204

A subexponential vector-valued Bohnenblust-Hille type inequality

N. Albuquerque·D. Núñez-Alarcón·D. M. Serrano-Rodríguez
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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}.

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BibTeXRIS

N. Albuquerque, D. Núñez-Alarcón, D. M. Serrano-Rodríguez. 2014-05-06. A subexponential vector-valued Bohnenblust-Hille type inequality. https://arxiv.org/abs/1405.1204

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