Abstract
The multilinear Hardy-Littlewood inequalities provide estimates for the sum of the coefficients of multilinear forms T ∶ ℓ p 1 n × ⋯ × ℓ p m n → R ( or C ) when 1 / p 1 × ⋯ × 1 / p m < 1 . In this paper we investigate the critical and super-critical cases; i.e., when 1 / p 1 × ⋯ × 1 / p m ≥ 1.
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