Capacities and embeddings via symmetrization and conductor inequalities

DOI10.1090/S0002-9939-2013-11778-8zbMath1304.46028OpenAlexW1994179166MaRDI QIDQ5398125

Pilar Silvestre

Publication date: 26 February 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11778-8

zbMATH Keywords

modulus of continuityembeddingsfunction spacesisocapacitary inequalitiesrearrangement estimates

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) Contents, measures, outer measures, capacities (28A12) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (3)

On fractional capacities relative to bounded open Lipschitz sets ⋮ Optimal geometric estimates for fractional Sobolev capacities ⋮ Fractional capacities relative to bounded open Lipschitz sets complemented

Cites Work

• Pointwise symmetrization inequalities for Sobolev functions and applications
• Besov capacity and Hausdorff measures in metric measure spaces
• Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
• Strong type estimates for homogeneous Besov capacities
• Capacitary function spaces
• Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
• Conductor inequalities and criteria for Sobolev type two-weight imbeddings
• Conductor Sobolev type estimates and isocapacitary inequalities
• Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities
• ON IMBEDDING IN CLASSES $ \phi(L)$
• ON INTERPOLATION OF ENTROPY AND BLOCK SPACES
• Symmetrization inequalities and Sobolev embeddings
• Scaling invariant Sobolev-Lorentz capacity on $\mathbb{R}^{n}$
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
• Sobolev Spaces
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