J. Seoane-Sepúlveda

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20112026

n

-dimensional polydisk is equivalent to

\frac{l o g n}{n}

7 citations · 37 across the 24 of their papers we have counts for

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math.FA2011★ 4 cited

The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal

Diogo Diniz, G. A. Muñoz-Fernández, Daniel Pellegrino +1

We provide (for both the real and complex settings) a family of constants, , enjoying the Bohnenblust--Hille inequality and such that $\displaystyle\li…

math.FA2011

Estimates for the asymptotic behavior of the constants in the Bohnenblust--Hille inequality

G. A. Muñoz-Fernández, D. Pellegrino, J. B. Seoane-Sepúlveda

A classical inequality due to H.F. Bohnenblust and E. Hille states that for every positive integer $n$ there is a constant $C_{n} > 0$ so that $$(\sum\limits_{i_{1},...,i_{n}=1}^{N}|…

math.FA2011

$L_{p} [0, 1] ∖ q > p ⋃ L_{q} [0, 1]$ is spaceable for every $p > 0$

G. Botelho, V. V. Fávaro, D. Pellegrino +1

In this short note we prove the result stated in the title; that is, for every $p > 0$ there exists an infinite dimensional closed linear subspace of $L_{p} [0, 1]$ every nonzero eleme…

The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal

Estimates for the asymptotic behavior of the constants in the Bohnenblust--Hille inequality

Lp​[0,1]∖q>p⋃​Lq​[0,1] is spaceable for every p>0

$L_{p} [0, 1] ∖ q > p ⋃ L_{q} [0, 1]$ is spaceable for every $p > 0$