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

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

Journal

Проблемы анализа
ISSN: 2306-3424

Output data

Year: 2017, Volume: 6, Number: 2, Pages: 57-80 Pages count : 24 DOI: 10.15393/j3.art.2017.3850

Tags

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

Authors

Kopylov Y.A. ^1,2

Affiliations

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

DB	Citing
Scopus	3
OpenAlex	4
Web of science	2