D. Núñez-Alarcón

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20122026

most citedOptimal exponents for Hardy--Littlewood inequalities for

m

-linear operators

19 citations · 46 across the 23 of their papers we have counts for

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math.FA2012★ 4 cited

There exist multilinear Bohnenblust-Hille constants $(C_{n})_{n = 1}^{\infty}$ with $n \to \infty lim (C_{n + 1} - C_{n}) = 0.$

Daniel Nunez-Alarcon, Daniel Pellegrino, Juan Seoane-Sepulveda +1

The $n$ -linear Bohnenblust-Hille inequality asserts that there is a constant $C_{n} \in [1, \infty)$ such that the $ℓ_{\frac{2 n}{n + 1}}$ -norm of $(U(e_{i_{^{1}}},...,e_{i_{n}}…

math.FA2012★ 6 cited

On the growth of the optimal constants of the multilinear Bohnenblust--Hille inequality

Daniel Nuñez-Alarcón, Daniel Pellegrino

Let $(K_{n})_{n = 1}^{\infty}$ be the optimal constants satisfying the multilinear (real or complex) Bohnenblust--Hille inequality. The exact values of the constants $K_{n}$ are stil…

math.FA2012

On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality

D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda

The search for sharp constants for inequalities of the type Littlewood's 4/3 and Bohnenblust-Hille, besides its pure mathematical interest, has shown unexpected applications in man…

There exist multilinear Bohnenblust-Hille constants (Cn​)n=1∞​ with n→∞lim​(Cn+1​−Cn​)=0.

On the growth of the optimal constants of the multilinear Bohnenblust--Hille inequality

On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality

There exist multilinear Bohnenblust-Hille constants $(C_{n})_{n = 1}^{\infty}$ with $n \to \infty lim (C_{n + 1} - C_{n}) = 0.$