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- W1512774791 abstract "We study solutions for the Hodge laplace equation $Delta u=omega $ on $p$ forms with $displaystyle L^{r}$ estimates for $displaystyle r>1.$ Our main hypothesis is that $Delta $ has a spectral gap in $displaystyle L^{2}.$ We use this to get non classical $displaystyle L^{r}$ Hodge decomposition theorems. An interesting feature is that to prove these decompositions we never use the boundedness of the Riesz transforms in $displaystyle L^{s}.$ These results are based on a generalisation of the Raising Steps Method to complete non compact riemannian manifolds." @default.
- W1512774791 created "2016-06-24" @default.
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- W1512774791 date "2017-01-01" @default.
- W1512774791 modified "2023-09-24" @default.
- W1512774791 title "On the $L^{r}$ Hodge theory in complete non compact riemannian manifolds." @default.
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- W1512774791 hasPublicationYear "2017" @default.
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