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arXiv · 1509.09162

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

Nacib Albuquerque·Tony Nogueira·Daniel Nunez-Alarcon·Daniel Pellegrino·Pilar Rueda
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Abstract

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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Nacib Albuquerque, Tony Nogueira, Daniel Nunez-Alarcon, Daniel Pellegrino, Pilar Rueda. 2015-09-30. Some applications of the H\"older inequality for mixed sums. https://arxiv.org/abs/1509.09162

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