Generalized Rademacher-Stepanov type theorem and applications

DOI10.4171/ZAA/1384zbMath1180.58007MaRDI QIDQ732872

Alireza Ranjbar-Motlagh

Publication date: 15 October 2009

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Orlicz spacesgeneralized differentiabilityLipschitz manifoldsRademacher and Stepanov theoremsSobolev and bounded variation spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (1)

An integral type characterization of constant functions on metric-measure spaces

Cites Work

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• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• Sobolev spaces and harmonic maps for metric space targets
• Sobolev-type classes of functions with values in a metric space
• Lectures on \(n\)-dimensional quasiconformal mappings
• Weakly Differentiable Functions
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure

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