Compensated compactness and the Heisenberg group (Q1340169)
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scientific article; zbMATH DE number 701009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compensated compactness and the Heisenberg group |
scientific article; zbMATH DE number 701009 |
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Compensated compactness and the Heisenberg group (English)
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11 December 1994
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The Jacobian \(\text{Jac}(F)\) of a map \(F\) from the Heisenberg group into itself is shown to map a suitable Sobolev space of the group into the Hardy space \(H^ 1\). From this result and a weak convergence theorem for the space \(H^ 1\) of the Heisenberg group, a compensated compactness property for the Jacobian is obtained.
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Heisenberg group
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Sobolev space
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Hardy space
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weak convergence theorem
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compensated compactness property
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Jacobian
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