Compensated compactness and the Heisenberg group
Copyright policy )Compensated compactness and the Heisenberg group
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.
- DigiZeitschriften Germany
- University of Mary United States
- Washington University in St. Louis United States
510.mathematics, Analysis on other specific Lie groups, compensated compactness property, Hardy space, weak convergence theorem, Analysis on ordered groups, \(H^p\)-theory, Sobolev space, Heisenberg group, Article, Jacobian
510.mathematics, Analysis on other specific Lie groups, compensated compactness property, Hardy space, weak convergence theorem, Analysis on ordered groups, \(H^p\)-theory, Sobolev space, Heisenberg group, Article, Jacobian
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