On the Orlicz cohomology of star-bounded simplicial complexes
The aim of the paper under review is to establish an isomorphism between the cohomology of the manifold and the cohomology of differential forms in Orlicz spaces. The main results extend the corresponding results of \textit{V. M. Gol'dshtejn} et al. [Sib. Math. J. 29, No. 2, 190--197 (1988; Zbl 0668.58051); translation from Sib. Mat. Zh. 29, No. 2(168), 34--44 (1988)] from the setting of \(L_p\) spaces to the setting of Orlicz spaces.
scientific article; zbMATH DE number 7383526