Absolutely continuous functions with values in a metric space

DOI10.14321/realanalexch.32.2.0569zbMath1131.26006arXivmath/0512340OpenAlexW1918359337MaRDI QIDQ2464623

Jakub Duda

Publication date: 2 January 2008

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512340

zbMATH Keywords

absolutely continuous functionsBanach-Zarecki theoremVallée-Poussin theoremmetric differential

Mathematics Subject Classification ID

Absolutely continuous real functions in one variable (26A46) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (11)

Absolutely continuous functions with values in a Banach space ⋮ Characterizing Sobolev spaces of vector-valued functions ⋮ Coarea inequality for monotone functions on metric surfaces ⋮ Sub-elliptic boundary value problems in flag domains ⋮ Quasiconformal geometry and removable sets for conformal mappings ⋮ Extensions and approximations of Banach-valued Sobolev functions ⋮ Pullback of a quasiconformal map between arbitrary metric measure spaces ⋮ Geometric and analytic quasiconformality in metric measure spaces ⋮ Dilatation, pointwise Lipschitz constants, and condition \(N\) on curves ⋮ Quasiconformal Jordan domains ⋮ Uniformization of metric surfaces using isothermal coordinates

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