The Characterization of the Regularity of the Jacobian Determinant in the framework of Potential spaces

نویسنده

  • Winfried Sickel
چکیده

We give necessary and suucient conditions on the parameters s 1 ; s 2 such that the Jacobian determinant extends to a bounded operator from _ H s1 p1 _ H s2 p2 : : : _ H sm pm into Z 0. Here all spaces are deened on R n and 2 m n. In almost all cases the regularity of the Jacobian determinant is calculated exactly.

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تاریخ انتشار 2007