The Area and Variation of Linearly Continuous Functions

DOI10.2307/2035966zbMath0165.06802OpenAlexW4236509309MaRDI QIDQ5549905

William P. Ziemer

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/2035966

zbMATH Keywords

differentiation and integration, measure theory

Related Items (5)

Some properties of distributions whose partial derivatives are representable by integration ⋮ Global integrability of the gradients of solutions to partial differential equations ⋮ Antimaximum principle in exterior domains ⋮ Estimates of the best Sobolev constant of the embedding of \(\mathrm{BV}(\Omega)\) into \(L^1(\partial \Omega)\) and related shape optimization problems ⋮ The method of regularized successive iterations for coupled physics conductivity imaging from a single internal data

Cites Work

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• Non-parametric surfaces given by linearly continuous functions
• Extremal length definitions for the conformal capacity of rings in space
• Acharacterization of linearly continuous functions whose partial derivatives are measures
• Some lower bounds for Lebesgue area
• Lower-semicontinuity and area functionals. I. The non-parametric case
• A Note on the Gauss-Green Theorem
• Curvature Measures
• Extremal Length and Conformal Capacity
• The (φ, k) Rectifiable Subsets of n Space
• Surface area. I

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