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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1079–1090
DOI: https://doi.org/10.33048/semi.2019.16.075 (Mi semr1116) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Real, complex and functional analysis

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

V. Gol'dshteina, Ya. A. Kopylovbc

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
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DOI: https://doi.org/10.33048/semi.2019.16.075
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.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 1.1.2, Project 0314-2016-0007
The second author was supported by the Program of Basic Scientific Research of the Siberian Branch of the Russian Academy of Sciences (Grant No. 1.1.2, Project 0314–2016–0007).
Received February 18, 2019, published August 13, 2019
Bibliographic databases:
Document Type: Article
UDC: 517, 515.168
MSC: 58A12, 46E30, 22E25
Language: English
Citation: V. Gol'dshtein, Ya. A. Kopylov, “Some Calculations of Orlicz Cohomology and Poincaré–Sobolev–Orlicz Inequalities”, Sib. Èlektron. Mat. Izv., 16 (2019), 1079–1090
Citation in format AMSBIB
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\by V.~Gol'dshtein, Ya.~A.~Kopylov
\paper Some Calculations of~Orlicz Cohomology and Poincar\'e--Sobolev--Orlicz Inequalities
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1079--1090
\mathnet{http://mi.mathnet.ru/semr1116}
\crossref{https://doi.org/10.33048/semi.2019.16.075}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000480602300001}
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