On the convergence in variation for the
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Daria Alexandrova; Vladimir Bogachev; Andrei Pilipenko
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Article
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1999
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Elsevier Science
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English
β 481 KB
Let F,, F : R" -R" be measurable mappings such that F, -+ F and a,,., F, -+ i),? F in measure on a measurable set E. We give conditions ensuring that the images of Lebesgue measure XII., on E under the mappings F, converge in the variation norm to the image of Xlk; under F. For example, a sufficient