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arXiv 2014-05-06 0 views

A subexponential vector-valued Bohnenblust-Hille type inequality

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

Original · EN

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 bps.

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