Abstract of a paper by Daniel Núñez-Alarcón, Diana M. Serrano-Rodríguez
This is an announcement for the paper “The Khintchine Inequality is equivalent to the Mixed $(\ell_{\frac{p}{p-1}}, \ell_2)$-Littlewood Inequality” by Daniel Núñez-Alarcón<https://arxiv.org/find/math/1/au:+Nunez_Alarcon_D/0/1/0/all/0/1>, Diana M. Serrano-Rodríguez<https://arxiv.org/find/math/1/au:+Serrano_Rodriguez_D/0/1/0/all/0/1>. Abstract: n this paper we prove that the Khintchine Inequality is equivalent to the mixed $(\ell_{\frac{p}{p-1}}, \ell_2)$-Littlewood inequality. Moreover, we obtain the optimal constants of the Multiple Khintchine inequality. As application, we obtain the optimal constants of the multilinear mixed $(\ell_{\frac{p}{p-1}}, \ell_2)$-Littlewood inequality, completing the estimates in \cite{racsam}.. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1704.01029
participants (1)
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Bentuo Zheng (bzheng)