English

Normed spaces using intrinsically Lipschitz sections and Extension Theorem for the intrinsically H\"older sections

Metric Geometry 2023-01-05 v1

Abstract

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 H\"older sections with target a topological space Y.Y. Here our target will be Y×RsY\times \R^s with s1s \geq 1 instead of Y.Y.

Keywords

Cite

@article{arxiv.2301.01735,
  title  = {Normed spaces using intrinsically Lipschitz sections and Extension Theorem for the intrinsically H\"older sections},
  author = {Daniela Di Donato},
  journal= {arXiv preprint arXiv:2301.01735},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2205.02688, arXiv:2205.02086

R2 v1 2026-06-28T08:02:51.497Z