Proves L^p-Hodge decomposition and global Poincaré/Sobolev-Gaffney inequalities for forms on the Cartan group using the Rumin complex, with weak-type estimates at p=1.
Wheeden,Sobolev and isoperimetric inequalities for degenerate metrics, Math
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$L^p$-Hodge decomposition and global integral estimates on the Cartan group
Proves L^p-Hodge decomposition and global Poincaré/Sobolev-Gaffney inequalities for forms on the Cartan group using the Rumin complex, with weak-type estimates at p=1.