Optimal Lorentz estimates are established for Riesz potentials of L1 closed or co-closed forms on compact manifolds, implying bounds for the Hodge system with finite mass data.
Triebel,Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds, Ark
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Potential Estimates and Hodge Systems with $L^1$ data on compact manifolds
Optimal Lorentz estimates are established for Riesz potentials of L1 closed or co-closed forms on compact manifolds, implying bounds for the Hodge system with finite mass data.