A new variational characterization of Sobolev spaces

DOI10.1007/S12220-014-9508-ZzbMath1348.46034OpenAlexW2051421478MaRDI QIDQ253779

Martin Lind, Sorina Barza

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-014-9508-z

zbMATH Keywords

Sobolev spacesdifferentiable functionspointwise Lipschitz continuityRiesz-type \(p\)-variation

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)

Related Items (7)

A note on convolution operators on Riesz Bounded variation spaces ⋮ Endpoint Sobolev and BV continuity for maximal operators ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Derivative bounds for fractional maximal functions ⋮ Regularity of Maximal Operators: Recent Progress and Some Open Problems ⋮ A characterization of weighted Sobolev spaces via weighted Riesz bounded variation spaces ⋮ On multipliers between bounded variation spaces

Cites Work

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• A new characterization of Sobolev spaces
• Remarks on the Bourgain–Brezis–Mironescu Approach to Sobolev Spaces
• Weakly Differentiable Functions

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