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arXiv 2301.01735math.MG
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赋内在Lipschitz截的赋范空间与内在Hölder截的扩张定理

Normed spaces using intrinsically Lipschitz sections and Extension Theorem for the intrinsically Hölder sections

Daniela Di Donato

摘要:

本文的目的是双重的:首先,我们想定义两个范数使用空间的内在Lipschitz部分。另一方面,我们想推广作者在以拓扑空间$Y.$为目标的内在Hölder截面的背景下证明的一个扩张定理。这里我们的目标是$Y\times \R^s$,而不是$Y.$,它具有$s \geq 1$

英文摘要:

The purpose of this article is twofold: first of all, we want to define two norms using the space of intrinsically Lipschitz sections. On the other hand, we want to generalize an Extension Theorem proved by the author in the context of the intrinsically Hölder sections with target a topological space $Y.$ Here our target will be $Y\times \R^s$ with $s \geq 1$ instead of $Y.$

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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