Area formulas in metric measure spaces under a weak Lipschitz-like condition
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Publication:2103347
DOI10.1007/s00025-022-01807-0OpenAlexW4312077954MaRDI QIDQ2103347
Publication date: 13 December 2022
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-022-01807-0
Length, area, volume, other geometric measure theory (28A75) Implicit function theorems, Jacobians, transformations with several variables (26B10) Abstract differentiation theory, differentiation of set functions (28A15)
Cites Work
- Metric differentiability of mappings and geometric measure theory
- Absolutely continuous functions of several variables
- Differentiability of Lipschitz functions on metric measure spaces
- Lectures on analysis on metric spaces
- Rectifiable sets in metric and Banach spaces
- Area formulas for classes of Hölder continuous mappings of Carnot groups
- N-Lusin property in metric measure spaces: a new sufficient condition
- Lusin's condition (N) and mappings with nonnegative Jacobians
- Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces
- An area formula in metric spaces
- Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
- Area and the area formula
- A change of variables formula for mappings in BV
- Sobolev met Poincaré
- An area formula for Lipschitz mappings of Carnot-Carathéodory spaces
- Space-filling vs. Luzin's condition (N)
- Mappings of finite distortion: Condition \(N\)
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