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

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

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-04
Hauptverfasser: Gol'dshtein, Vladimir, Kopylov, Yaroslav
Format: Artikel
Sprache:eng
Schlagworte:
Homology
Inequalities
Mathematical analysis
Riemann manifold
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2331-8422