AM‐modulus and Hausdorff measure of codimension one in metric measure spaces
DOI10.1002/mana.202000059zbMath1530.28001arXiv1911.02433OpenAlexW4206294209MaRDI QIDQ6080831
Olli Martio, Vendula Honzlová Exnerová, Unnamed Author
Publication date: 4 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.02433
Contents, measures, outer measures, capacities (28A12) Length, area, volume, other geometric measure theory (28A75) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Hausdorff and packing measures (28A78) Set functions and measures on spaces with additional structure (28C99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Functions of bounded variation and curves in metric measure spaces
- Pointwise properties of functions of bounded variation in metric spaces
- On the duality between \(p\)-modulus and probability measures
- Nonlinear potential theory on metric spaces
- Extremal length and functional completion
- Plans on measures and \textit{AM}-modulus
- Functions of bounded variation on ``good metric spaces
- Functions of bounded variation and the \(AM\)-modulus in \(\mathbb{R}^n\)
- Modulus in Banach function spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- A new Federer-type characterization of sets of finite perimeter
- Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces
- Lectures on potential theory. 2nd ed., revised and enlarged
- Theory of capacities
- The space of functions of bounded variation on curves in metric measure spaces
- Sobolev Spaces on Metric Measure Spaces
- Lebesgue points and capacities via boxing inequality in metric spaces
- Functions whose partial derivatives are measures
- Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
This page was built for publication: AM‐modulus and Hausdorff measure of codimension one in metric measure spaces