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arxiv: 1509.09162 · v2 · pith:6OF6ETAQnew · submitted 2015-09-30 · 🧮 math.FA

Some applications of the H\"older inequality for mixed sums

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keywords inequalitymixedexponentsresultssomeapplicationsaraujoextend
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We use the H\"{o}lder inequality for mixed exponents to prove some optimal variants of the generalized Hardy--Littlewood inequality for $m$-linear forms on $\ell _{p}$ spaces with mixed exponents. Our results extend recent results of Araujo et al.

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