ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY

We consider Orlicz spaces of differential forms on a Riemannian manifold.A Riesz-type theorem about the functionals on Orlicz spaces of forms is proved and other duality theorems are obtained therefrom.We also extend the results on the Hölder-Poincaré duality for reduced L q,p -cohomology by Gol dshtein and Troyanov to L Φ I ,Φ II -cohomology, where Φ I and Φ II are N -functions of class ∆ 2 ∩ ∇ 2 .

Abstract licence: CC BY-NC

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