\(A_r(\omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors (Q1868127)
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scientific article; zbMATH DE number 1901231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(A_r(\omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors |
scientific article; zbMATH DE number 1901231 |
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\(A_r(\omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors (English)
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27 April 2003
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Imbedding inequalities are essential to the development of the \(L^{p}\) theory of differential forms, and the objective of this paper is to provide such inequalities for \(A\)-harmonic tensors. The norms the author uses are weighted \(L^{p}\) norms. Estimates are also given for a homotopy operator \(( T: C^{\infty } (D,\Lambda ^{l}) \rightarrow C^{\infty } (D, \Lambda ^{l-1}))\) which was introduced by T. Iwaniec and A. Lutoborski, and both local and global versions are proved.
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\(A\)-harmonic tensors
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0.9183578491210938
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0.848112165927887
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0.8264480233192444
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