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Author

A. Barbosa

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Preprint Oct 2026

Sparse Kahane--Salem--Zygmund Forms and Weighted Hardy--Littlewood Inequalities Across the Critical Endpoint

We study sparse Kahane--Salem--Zygmund constructions and weighted Hardy--Littlewood inequalities for homogeneous polynomials. For supports of cardinality $n^{d+o(1)}$, we determine the sharp power of $n$ governing the smallest norm of a unimodular $m$-linear form on $\ell_{p_1}^n\times\cdots\times\ell_{p_m}^n$; in the...

A. Barbosa, D. Núñez-Alarcón, A. Raposo et al. · 0 citations
Preprint Sep 2026

The Lotz Property in Weakly Compactly Generated Spaces

We study whether every infinite-dimensional weakly compactly generated (WCG) Banach space fails the Lotz property. The answer is affirmative in the nonseparable case: a classical decomposition theorem for WCG spaces provides a Schauder decomposition, and an explicit diagonal $C_0$-semigroup has an unbounded generator....

G. Ara'ujo, Mateus Azevedo, Flank Bezerra et al. · 0 citations

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