Article ID Journal Published Year Pages File Type
4590064 Journal of Functional Analysis 2014 11 Pages PDF
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
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