ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY
Journal Title: Проблемы анализа-Issues of Analysis - Year 2017, Vol 6, Issue 2
Abstract
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-Poincarè duality for reduced L_q,_p-cohomology by Gol`dshtein and Troyanov to Lᵩᵢ ,ᵩᵢᵢ -cohomology, where Φᵢ and Φᵢᵢ are N-functions of class ∆2 ∩ ∇2.
Authors and Affiliations
Ya. A. Kopylov
Keywords
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- EP ID EP227115
- DOI 10.15393/j3.art.2017.3850
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