Peano cubes with derivatives in a Lorentz space

zbMath1223.46038MaRDI QIDQ2267706

Thomas Zürcher, Kevin Wildrick

Publication date: 1 March 2010

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1266934782

zbMATH Keywords

Sobolev-Lorentz spaceslength-compact metric spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (5)

Sobolev embedding of a sphere containing an arbitrary Cantor set in the image ⋮ Luzin's condition (N) and Sobolev mappings ⋮ Space filling with metric measure spaces ⋮ Regularity and modulus of continuity of space-filling curves ⋮ Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

Cites Work

• Unnamed Item
• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Sobolev Peano cubes
• Lectures on analysis on metric spaces
• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• On functions with derivatives in a Lorentz space
• Sobolev-type classes of functions with values in a metric space
• Weakly Differentiable Functions
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
• Sobolev met Poincaré

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