Conductor Sobolev type estimates and isocapacitary inequalities

DOI10.1512/IUMJ.2012.61.4709zbMath1281.46033OpenAlexW1985980412MaRDI QIDQ2866934

Pilar Silvestre, Joaquim Martín, Joan L. Cerda

Publication date: 10 December 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/115176

zbMATH Keywords

Sobolev spacesconvexitylower estimatesrearrangement invariant spacesSobolev-type inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) 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 (8)

Sobolev embeddings into Orlicz spaces and isocapacitary inequalities ⋮ Application of capacities to space–time fractional dissipative equations I: regularity and the blow-up set ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds ⋮ Symmetrization inequalities for probability metric spaces with convex isoperimetric profile ⋮ Capacities and embeddings via symmetrization and conductor inequalities ⋮ Isocapacity estimates for Hessian operators ⋮ Unnamed Item ⋮ Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension

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