Change of variables in a multiple Lebesgue integral

I. V. Orlov

Moscow State (V. I. Lenin) Pedagogical Institute

Abstract: Necessary and sufficient conditions are found for a change of variables in a multiple Lebesgue integral for a class of quasibijective (one-to-one everywhere except on a set whose image has measure zero) mappings in the Euclidean space $R^n$.

UDC: 517.5

Received: 26.05.1972

 English version: Mathematical Notes, 1973, 14:1, 575–581

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