The space of functions of bounded variation on curves in metric measure spaces
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Publication:2802140
DOI10.1090/ecgd/291zbMath1338.26006OpenAlexW2342376315MaRDI QIDQ2802140
Publication date: 25 April 2016
Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/ecgd/291
Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45) Analysis on metric spaces (30L99)
Related Items (6)
Plans on measures and \textit{AM}-modulus ⋮ Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality ⋮ Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\) ⋮ On master test plans for the space of BV functions ⋮ AM‐modulus and Hausdorff measure of codimension one in metric measure spaces ⋮ A version of Stokes's theorem using test curves
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- Functions of bounded variation on ``good metric spaces
- Quasiconformal maps in metric spaces with controlled geometry
- Lectures on analysis on metric spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
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