The Characterisation of the Regularity of the Jacobian Determinant in the Framework of Potential Spaces

DOI10.1112/S0024610798006735zbMath0923.42016OpenAlexW2160614072MaRDI QIDQ3839895

Abdellah Youssfi, Winfried Sickel

Publication date: 23 September 1998

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

Full work available at URL: https://doi.org/10.1112/s0024610798006735

zbMATH Keywords

regularitySobolev spacesHardy spacesJacobian determinantpotential spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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On a limiting case for pointwise multiplication in Nikol'skii-Besov spaces ⋮ L∞ estimates and integrability by compensation in Besov–Morrey spaces and applications ⋮ An estimate of the Hopf degree of fractional Sobolev mappings ⋮ Integration of nonsmooth 2-forms: from Young to Itô and Stratonovich ⋮ The Jacobian determinant revisited ⋮ Estimates for the topological degree and related topics ⋮ \(W^{s,\frac{n}{s}}\)-maps with positive distributional Jacobians ⋮ Three examples of sharp commutator estimates via harmonic extensions ⋮ Regular and self-similar solutions of nonlinear Schrödinger equations

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