Space filling with metric measure spaces

DOI10.1007/s00209-010-0787-1zbMath1242.46047OpenAlexW2069309736WikidataQ110125249 ScholiaQ110125249MaRDI QIDQ663256

Thomas Zürcher, Kevin Wildrick

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0787-1

zbMATH Keywords

Heisenberg groupLorentz spacePoincaré inequalitymetric measure spaceupper gradientCantor diamond spacefilling mappingslength-compact metric space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Length, area, volume, other geometric measure theory (28A75) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (3)

Sobolev embedding of a sphere containing an arbitrary Cantor set in the image ⋮ Regularity and modulus of continuity of space-filling curves ⋮ Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

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