Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below

After establishing some new global facts (like a measure theoretic structure theorem and a new invariant characterization of Sobolev functions) about complex-valued functions with bounded variation on arbitrary noncompact Riemannian manifolds, we extend results of Miranda/the second author/Paronetto...

Full description

Saved in:
Bibliographic Details
Published inMathematische annalen Vol. 363; no. 3-4; pp. 1307 - 1331
Main Authors Güneysu, Batu, Pallara, Diego
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2015
Subjects
Mathematics
Mathematics and Statistics
26B30
47D06
58J35
53C21
Online AccessGet full text

Cover

More Information
Summary:After establishing some new global facts (like a measure theoretic structure theorem and a new invariant characterization of Sobolev functions) about complex-valued functions with bounded variation on arbitrary noncompact Riemannian manifolds, we extend results of Miranda/the second author/Paronetto/Preunkert and of Carbonaro/Mauceri on the heat semigroup characterization of the variation of L 1 -functions to a class of Riemannian manifolds with possibly unbounded from below Ricci curvature.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-015-1208-x