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math.FA2016★ 4 cited
Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant
N. Albuquerque, G. Araújo, M. Maia +3
The Hardy--Littlewood inequality for -linear forms on spaces and asserts that \begin{equation*} \left( \sum_{j_{1},...,j_{m}=1}^{\infty }\left\vert T\le…
math.FA2016★ 19 cited
Optimal exponents for Hardy--Littlewood inequalities for -linear operators
R. M. Aron, D. Núñez-Alarcón, D. Pellegrino +1
The Hardy--Littlewood inequalities on spaces provide optimal exponents for some classes of inequalities for bilinear forms on spaces. In this paper we inves…