Sobolev spaces via chains
Sobolev spaces via chains in metric measure spaces
Sobolev spaces via chains in metric measure spaces
arXiv:2408.15071v1 Announce Type: new
Abstract: We define the chain Sobolev space on a possibly non-complete metric measure space in terms of chain upper gradients. In this context, $varepsilon$-chains are a finite collection of points with distance at most $varepsilon$ between consecutive points. …
