Orlicz spaces of differential forms on Riemannian manifolds: Duality and cohomology

Ya A. Kopylov

doi:10.15393/j3.art.2017.3850

Orlicz spaces of differential forms on Riemannian manifolds: Duality and cohomology

Ya A. Kopylov

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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 Gol0dshtein and Troyanov to L_ΦI, _ΦII -cohomology, where _ΦI and _ΦII are N-functions of class Δ₂ ∩ ∇₂.

Язык оригинала	английский
Страницы (с-по)	57-80
Число страниц	24
Журнал	Problemy Analiza
Том	6
Номер выпуска	2
DOI	https://doi.org/10.15393/j3.art.2017.3850
Состояние	Опубликовано - 1 янв 2017

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10.15393/j3.art.2017.3850

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