The area formula for W 1 , n - mappings

نویسنده

  • Jan Malý
چکیده

Let f be a mapping in the Sobolev space W (Ω,R). Then the change of variables, or area formula holds for f provided removing from counting into the multiplicity function the set where f is not approximately Hölder continuous. This exceptional set has Hausdorff dimension zero.

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تاریخ انتشار 2010