Quasiconformal Mappings and Sets of Finite Perimeter

DOI10.2307/1996672zbMath0271.30028OpenAlexW4251999141MaRDI QIDQ3215492

James C. Kelly

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996672

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Quasiconformal mappings in the complex plane (30C62) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (4)

Modulus of families of sets of finte perimeter and quasiconformal maps between metric spaces of globally Q-bounded geometry ⋮ Duality of moduli and quasiconformal mappings in metric spaces ⋮ Federer's characterization of sets of finite perimeter in metric spaces ⋮ A new Federer-type characterization of sets of finite perimeter

Cites Work

• Extremal length and functional completion
• Extremal length definitions for the conformal capacity of rings in space
• Some lower bounds for Lebesgue area
• Change of variables for absolutely continuous functions
• Angles and quasiconformal mappings in space
• Lectures on \(n\)-dimensional quasiconformal mappings
• A Note on the Gauss-Green Theorem
• Symmetrization of Rings in Space
• Rings and Quasiconformal Mappings in Space
• Extremal Length and Conformal Capacity
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