Calculus of Variations and Geometric Measure Theory

D. Di Donato

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

created by didonato on 05 Jan 2023



Inserted: 5 jan 2023

Year: 2023

ArXiv: 2301.01735 PDF


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 $Y.$ Here our target will be $Y\times \R^s$ with $s \geq 1$ instead of $Y.$