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math.FA2011★ 1 cited
Lower bounds for the constants in the Bohnenblust-Hille inequality: the case of real scalars
Diogo Diniz, Gustavo Muñoz-Fernández, Daniel Pellegrino +1
The Bohnenblust-Hille inequality was obtained in 1931 and (in the case of real scalars) asserts that for every positive integer and every -linear mapping $T:\ell_{\infty}^{N…
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…