Functions of bounded variation on ``good'' metric spaces
type: Item
instance of: scholarly article
title: Functions of bounded variation on ``good'' metric spaces
zbMATH Open document ID: 1109.46030
DOI: 10.1016/S0021-7824(03)00036-9
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2007-05-15T00:00:00Z
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5152934
zbMATH Keywords: BV-functions
zbMATH Keywords: doubling metric spaces
zbMATH Keywords: Coarea formula
author: Michele jun. Miranda
MaRDI profile type: Publication
cites work: Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
cites work: On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
cites work: Functionals with linear growth defined on vector valued BV functions
cites work: Funzioni BV e tracce
cites work: Weighted BV functions
cites work: Q4936265
cites work: Q5814020
cites work: Differentiability of Lipschitz functions on metric measure spaces
cites work: Q4368752
cites work: Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
cites work: Q4190861
cites work: Q3134551
cites work: Q5565773
cites work: Weighted Sobolev-Poincare Inequalities and Pointwise Estimates for a Class of Degenerate Elliptic Equations
cites work: Q3129869
cites work: Q4359612
cites work: Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces
cites work: Q4718347
cites work: Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
cites work: Sobolev spaces on an arbitrary metric space
cites work: Q4847438
cites work: Sobolev met Poincaré
cites work: An 𝑛-dimensional space that admits a Poincaré inequality but has no manifold points
cites work: Sobolev classes of Banach space-valued functions and quasiconformal mappings
cites work: The Poincaré inequality for vector fields satisfying Hörmander's condition
cites work: Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
cites work: Q4328334
cites work: Q3995421
cites work: Weighted Norm Inequalities for the Hardy Maximal Function
cites work: Balls and metrics defined by vector fields. I: Basic properties
cites work: Change of variables for absolutely continuous functions
full work available at URL: s0021-7824(03)00036-9
OpenAlex ID: W2061732609
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description: scientific article; zbMATH DE number 5152934