On points of absolute continuity, III
M. C. Chakrabarty, J. S. Lipiński (1971)
Colloquium Mathematicae
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M. C. Chakrabarty, J. S. Lipiński (1971)
Colloquium Mathematicae
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Almeida, Ricardo (2007)
APPS. Applied Sciences
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Baidyanath Ray (1973)
Colloquium Mathematicae
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R. U. Verma (1970)
Matematički Vesnik
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John R. Martin (1976)
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Manilal Shah (1973)
Publications de l'Institut Mathématique
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Wanda Matuszewska, Władysław Orlicz (1975)
Annales Polonici Mathematici
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Stanislav Hencl (2002)
Fundamenta Mathematicae
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Absolutely continuous functions of n variables were recently introduced by J. Malý [5]. We introduce a more general definition, suggested by L. Zajíček. This new absolute continuity also implies continuity, weak differentiability with gradient in Lⁿ, differentiability almost everywhere and the area formula. It is shown that our definition does not depend on the shape of balls in the definition.
T. Byczkowsi, M. Ryznar (1988)
Mathematica Scandinavica
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Satya Narain Srivastava (1968)
Annales Polonici Mathematici
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