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Higher Dimensional Mappings for Which the Area Formula Holds

For each continuous mapping of 2 space into n space, n ≥ 2, the Lebesgue area is given by the classical formula provided that the partial derivatives exist almost everywhere and belong to the class L(2). The analogous question for mappings of m space into n space, 2 < m ≤ n, has been open for a long...

Ausführliche Beschreibung

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Bibliografische Detailangaben
Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Goffman, Casper, Ziemer, William P.
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1970
Schlagworte:
Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC282932/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591817/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.65.3.491
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