Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces

DOI10.1016/j.aim.2018.09.033zbMath1412.46043arXiv1712.06315OpenAlexW2962797289WikidataQ62043470 ScholiaQ62043470MaRDI QIDQ1989709

Dario Trevisan, Elia Bruè, Luigi Ambrosio

Publication date: 29 October 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06315

zbMATH Keywords

Wiener spacesSobolev functionsLusin-type approximation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Related Items (10)

Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels ⋮ Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators ⋮ Regularity of Lagrangian flows over \(\operatorname{RCD}^*(K, N)\) spaces ⋮ Regularity of distributions of Sobolev mappings in abstract settings ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ A note on Lusin-type approximation of Sobolev functions on Gaussian spaces ⋮ Collapsed Ricci limit spaces as non-collapsed RCD spaces ⋮ On the Sobolev space of functions with derivative of logarithmic order ⋮ Pointwise conditions for membership of functions in weighted Sobolev classes ⋮ Sobolev–Kantorovich inequalities under CD(0,∞) condition

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