Local vector measures
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Publication:6065786
DOI10.1016/j.jfa.2023.110202arXiv2206.14864OpenAlexW4387503906MaRDI QIDQ6065786
Publication date: 15 November 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.14864
Nonsmooth analysis (49J52) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Nonstandard measure theory (28E05)
Cites Work
- Metric currents and Alberti representations
- Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
- Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- Functions of bounded variation on ``good metric spaces
- Banach lattices
- Differentiability of Lipschitz functions on metric measure spaces
- Fine properties of sets of finite perimeter in doubling metric measure spaces
- Lecture notes on differential calculus on \(\mathsf{RCD}\) spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
- Metric currents and polylipschitz forms
- A sharp Leibniz rule for BV functions in metric spaces
- Quasi-continuous vector fields on RCD spaces
- Lectures on nonsmooth differential geometry
- The continuity equation on metric measure spaces
- Ricci curvature for metric-measure spaces via optimal transport
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Rectifiability of the reduced boundary for sets of finite perimeter over \(\operatorname{RCD} ( K , N )\) spaces
- Metric currents, differentiable structures, and Carnot groups
- On the differential structure of metric measure spaces and applications
- Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
- A general bilinear vector integral
- Weak Convergence of Measures
- CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
- Currents in metric spaces
- Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
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