V. Gol'dshtein, Ya. A. Kopylov, “Some Calculations of Orlicz Cohomology and Poincaré–Sobolev–Orlicz Inequalities”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>1079

This article is cited in 3 papers

Real, complex and functional analysis

Some Calculations of Orlicz Cohomology and Poincaré–Sobolev–Orlicz Inequalities

V. Gol'dshtein^a, Ya. A. Kopylov^bc

^a Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, P.O.Box 653, Israel
^b Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
^c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré–Sobolev–Orlicz-type inequalities is discussed.

Keywords: differential form, Orlicz cohomology, torsion, Poincaré–Sobolev–Orlicz inequality.

UDC: 517, 515.168

MSC: 58A12, 46E30, 22E25

Received February 18, 2019, published August 13, 2019

Language: English

DOI: 10.33048/semi.2019.16.075