Hölder continuous Sobolev mappings and the Lusin N property

zbMath1331.26021MaRDI QIDQ491473

Aleksandra Zapadinskaya

Publication date: 25 August 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1436275500

zbMATH Keywords

Poincaré inequalityHölder continuityHausdorff measureSobolev mappingLebesgue measureAhlfors regularity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Hausdorff and packing measures (28A78)

Related Items (3)

Hausdorff measure of critical set for Luzin \(N\) condition ⋮ Regularity of harmonic discs in spaces with quadratic isoperimetric inequality ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)]

Cites Work

• Unnamed Item
• Hausdorff dimension and mean porosity
• Lectures on analysis on metric spaces
• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• Lusin's condition (N) and mappings with nonnegative Jacobians
• Luzin's condition (N) and modulus of continuity
• Boundary blow-up under Sobolev mappings
• Lusin's condition (N) and mappings of the class W1, n.
• Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems

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