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

Журнал

Проблемы анализа
ISSN: 2306-3424

Вых. Данные

Год: 2017, Том: 6, Номер: 2, Страницы: 57-80 Страниц : 24 DOI: 10.15393/j3.art.2017.3850

Ключевые слова

Differential form; Exterior differential; Orlicz cohomology; Orlicz space; Riemannian manifold

Авторы

Kopylov Y.A. ^1,2

Организации

1	Sobolev Institute of Mathematics, 4, Akad. Koptyuga st., Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 2, Pirogova st., Novosibirsk, 630090, Russian Federation

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 Lq,p-cohomology by Gol0dshtein and Troyanov to LΦI, ΦII -cohomology, where ΦI and ΦII are N-functions of class Δ2 ∩ ∇2.

Kopylov Y.A.
Orlicz spaces of differential forms on Riemannian manifolds: Duality and cohomology
Проблемы анализа. 2017. V.6. N2. P.57-80. DOI: 10.15393/j3.art.2017.3850 WOS Scopus OpenAlex

Web of science:	WOS:000419271800004
Scopus:	2-s2.0-85040698484
OpenAlex:	W2783361652

БД	Цитирований
Scopus	3
OpenAlex	4
Web of science	2