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

2023/01/04 by Daniela Di Donato, Di Donato, Daniela
Mathematics · Computer Science · #Advanced Banach Space Theory #Optimization and Variational Analysis #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.2301.01735

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 Hölder sections with target a topological space Y. Here our target will be Y× \R^s with s ≥ 1 instead of Y.

Related

• Intrinsically Hölder sections in metric spaces
• Intrinsic Lipschitz sections of no-linear quotient maps
• Families of extensions of the Kantorovich-Rubinstein and Lipschitz norms
• Ahlfors-David regularity of intrinsically quasi-symmetric sections in metric spaces
• Intrinsically Lipschitz sections and applications to metric groups