2015/01/05 by Daniel Pellegrino, Pellegrino, Daniel
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Limits and Structures in Graph Theory #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1501.00965
openalex publication_date 2015/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, among other results, we find the optimal constants of the\ngeneralized Bohnenblust--Hille inequality for m-linear forms over\n\ℝ and with multiple exponents \( 1,2,...,2\) , sometimes\ncalled mixed \( \ℓ 1,\ℓ 2\) -Littlewood inequality. We\nshow that these optimal constants are precisely \( \√(2)\) m-1\nand this is somewhat surprising since a series of recent papers have shown that\nsimilar constants have a sublinear growth. This result answers a question\nraised by Albuquerque \et al. in a paper published in 2014 in the\n\Journal of Functional Analysis.\n