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Optimality in a Multilinear Extension of Kwapień's Theorem
Luis Miguel Castaño Marín, Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón +2
Bayart, Pellegrino, and Rueda obtained diagonal absolute summability exponents for continuous \(m\)-linear operators from \((\ell_1)^m\) into \(\ell_p\). Their optimality was known…
Asymptotic Contractivity of Bohnenblust-Hille Constants with Bounded Monomial Support
Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez
We study the optimal Bohnenblust-Hille constants for complex -homogeneous polynomials in any number of variables whose monomials with nonzero coefficient invol…
The sharp constants in the real anisotropic Littlewood's inequality and applications
Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez
The real anisotropic Littlewood's inequality is an extension of a famous result obtained in 1930 by J. E. Littlewood. It asserts that, for , the f…
Regularity of the coefficients of multilinear forms on sequence spaces
Daniel Pellegrino, Anselmo Raposo, Diana Serrano-Rodríguez
The investigation of regularity/summability properties of the coefficients of bilinear forms in sequence spaces was initiated by Littlewood in . Nowadays, this topic has impo…