Optimal geometric estimates for fractional Sobolev capacities

DOI10.1016/j.crma.2015.10.014zbMath1361.31009arXiv1404.2245OpenAlexW2963111250MaRDI QIDQ512339

Jie Xiao

Publication date: 24 February 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2245

zbMATH Keywords

fractional Sobolev capacity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (13)

On fractional capacities relative to bounded open Lipschitz sets ⋮ The anisotropic fractional isoperimetric problem with respect to unconditional unit balls ⋮ Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality ⋮ Besov capacity for a class of nonlocal hypoelliptic operators and its applications ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Capacities and embeddings of Besov spaces via general convolution kernels ⋮ Strengthened fractional Sobolev type inequalities in Besov spaces ⋮ Some results of capacity in fractional Sobolev spaces with variable exponents ⋮ Fractional capacities relative to bounded open Lipschitz sets complemented ⋮ Unnamed Item ⋮ Fractional Sobolev norms and BV functions on manifolds ⋮ Embeddings of function spaces via the Caffarelli-Silvestre extension, capacities and Wolff potentials ⋮ Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension

Cites Work

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• Sobolev Spaces

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