New characterizations of Sobolev metric spaces
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Publication:1715467
DOI10.1016/j.jfa.2018.07.003zbMath1418.46014arXiv1803.01658OpenAlexW2964311633WikidataQ129564540 ScholiaQ129564540MaRDI QIDQ1715467
Simone Di Marino, Marco Squassina
Publication date: 4 February 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01658
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Entropy and other invariants (28D20) Analysis on metric spaces (30L99)
Related Items (12)
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II ⋮ Fractional order Orlicz-Sobolev spaces ⋮ Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential ⋮ One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces ⋮ Fractional Sobolev norms and BV functions on manifolds ⋮ Fractional Sobolev spaces from a complex analytic viewpoint ⋮ Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents
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