Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593395 | Journal of Number Theory | 2016 | 8 Pages |
Abstract
TextIn this note, among other results, we find the optimal constants of the generalized Bohnenblust–Hille inequality for m -linear forms over RR and with multiple exponents (1,2,…,2)(1,2,…,2), sometimes called mixed (ℓ1,ℓ2)(ℓ1,ℓ2)-Littlewood inequality. We show that these optimal constants are precisely (2)m−1 and this is somewhat surprising since a series of recent papers have shown that similar constants have a sublinear growth. This result answers a question raised by Albuquerque et al. in a paper published in 2014 in the Journal of Functional Analysis.VideoFor a video summary of this paper, please visit https://youtu.be/KnKtjbvsbW0.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Pellegrino,