most citedA closed formula for subexponential constants in the multilinear Bohnenblust--Hille inequality

3 citations · 5 across the 3 of their papers we have counts for

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math.FA2014

A subexponential vector-valued Bohnenblust-Hille type inequality

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

Bayart, Pellegrino and Seoane recently proved that the polynomial Bohnenblust--Hille inequality for complex scalars is subexponential. We show that a vector valued polynomial Bohne…

math.FA2014★ 2 cited

Absolutely summing multilinear operators via interpolation

N. Albuquerque, D. Núñez-Alarcón, J. Santos +1

We use an interpolative technique from \cite{abps} to introduce the notion of multiple -separately summing operators. Our approach extends and unifies some recent results; for i…

math.FA2012★ 3 cited

A closed formula for subexponential constants in the multilinear Bohnenblust--Hille inequality

Diana Marcela Serrano-Rodriguez

For the scalar field or , the multilinear Bohnenblust--Hille inequality asserts that there exists a sequence of positive scalars $(C_{\mathbb{K}…