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On the Convergence in the Variation Norm for the Images of Measures Under Differentiable Mappings

open access: yes, 2007
Let F j ; F : R n ! R n be measurable mappings such that F j ! F and @ x i F j ! @ x i F in measure on a measurable set E. We give conditions ensuring that the images of Lebesgue measure j E on E under the mappings F j converge in the variation ...
V. I. Bogachev   +2 more
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