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-Poincarè duality for reduced L_q,_p-cohomology by...
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Format: | Article |
Language: | English |
Published: |
Petrozavodsk State University
2017-10-01
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Series: | Проблемы анализа |
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Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=3850&lang=en |