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.
Folland,Subelliptic estimates and function spaces on nilpotent Lie groups, Ark
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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.