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Hardy–Littlewood inequality - Wikipedia

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In mathematical analysis, the Hardy–Littlewood inequality, named after G. H. Hardy and John Edensor Littlewood, states that if f and g are nonnegative measurable real functions vanishing at infinity that are defined on n -dimensional Euclidean space Rn , then

Hardy–Littlewood inequality - Wikipedia Jump to content From Wikipedia, the free encyclopedia Inequality type in mathematical analysis In mathematical analysis , the Hardy–Littlewood inequality , named after G. H. Hardy and John Edensor Littlewood , states that if f {\displaystyle f} and g {\displaystyle g} are nonnegative measurable real functions vanishing at infinity that are defined on n {\displaystyle n} - dimensional Euclidean space R n {\displaystyle \mathbb {R} ^{n}} , then ∫ R n f ( x ) g ( x ) d x ≤ ∫ R n f ∗ ( x ) g ∗ ( x ) d x {\displaystyle \int

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