Topological mappings of finite area distortion

E Afanas' eva, A Golberg - Analysis and Mathematical Physics, 2022 - Springer
We study the interplay of mappings of finite area distortion (FAD) with finitely bi-Lipschitz
mappings, ring and lower Q-homeomorphisms, and absolutely continuous …

[PDF][PDF] ON THE DENSITY OF LIPSCHITZ FUNCTIONS IN NEWTONIAN SPACES

M MOCANU - Scientific Studies & Research. Series Mathematics & …, 2023 - pubs.ub.ro
Let E be a rearrangement invariant Banach function space over a metric measure space X,
where the measure of X is doubling and X supports a (1, E)− Poincaré inequality. We …

On the density of Lipschitz functions in Sobolev-type spaces on metric measure spaces

M Mocanu - Conference on Applied and Industrial Mathematics, 2023 - ibn.idsi.md
Lipschitz functions play the role of smooth functions in analysis on metric measure spaces,
being used to approximate functions from various Sobolev spaces, of Hajlasz and …