Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590064 | Journal of Functional Analysis | 2014 | 11 Pages |
Abstract
The best known upper estimates for the constants of the Hardy–Littlewood inequality for m -linear forms on ℓpℓp spaces are of the form (2)m−1. We present better estimates which depend on p and m . An interesting consequence is that if p≥m2p≥m2 then the constants have a subpolynomial growth as m tends to infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gustavo Araújo, Daniel Pellegrino, Diogo Diniz P. da Silva e Silva,