[HTML][HTML] On the upper bounds for the constants of the Hardy–Littlewood inequality
G Araújo, D Pellegrino - Journal of Functional Analysis, 2014 - Elsevier
Journal of Functional Analysis, 2014•Elsevier
The best known upper estimates for the constants of the Hardy–Littlewood inequality for m-
linear forms on ℓ p 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≥ m 2 then the constants have a
subpolynomial growth as m tends to infinity.
linear forms on ℓ p 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≥ m 2 then the constants have a
subpolynomial growth as m tends to infinity.
The best known upper estimates for the constants of the Hardy–Littlewood inequality for m-linear forms on ℓ p 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≥ m 2 then the constants have a subpolynomial growth as m tends to infinity.
Elsevier
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