ASYMPTOTIC CONSTANTS IN AVERAGED HOLDER INEQUALITIES

Gerd Herzog; Peer Chr. Kunstmann

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ASYMPTOTIC CONSTANTS IN AVERAGED HOLDER INEQUALITIES

机译：平均持有人不等式中的渐近常数

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For 0 < q ≤ p we take L~β-averages over the Holder inequality between the l~q-norm and the F-norm in Rn. We obtain precise limits as n → ∞ for the l~p-unit ball and, in case p ≥ 1, also for the l~p-unit sphere, which coincide and are independent of β > 0. These are consequences of more general results on the asymptotic behavior of corresponding integrals over balls and spheres of certain bounded measurable functions.

机译：对于0

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来源
《Real analysis exchange》 |2020年第2期|423-435|共13页
作者
Gerd Herzog; Peer Chr. Kunstmann;
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作者单位

Institute for Analysis Karlsruhe Institute of Technology (KIT) 76128 Karlsruhe Germany;

Institute for Analysis Karlsruhe Institute of Technology (KIT) 76128 Karlsruhe Germany;

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原文格式 PDF
正文语种 eng
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关键词
averaged Hoelder inequalities; asymptotic relations; integrals over balls and spheres;

机译：平均不等行;渐近关系;在球和球体上积分;

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ASYMPTOTIC CONSTANTS IN AVERAGED HOLDER INEQUALITIES

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