Continuous valuations on the space of Lipschitz functions on the sphere

DOI10.1016/j.jfa.2020.108873zbMath1462.26004arXiv2005.05419OpenAlexW3098707837MaRDI QIDQ2217519

Pedro Tradacete, Ignacio Villanueva, Daniele Pagnini, Andrea Colesanti

Publication date: 29 December 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05419

zbMATH Keywords

integral representationLipschitz functionsgeometric valuation theory

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Lipschitz (Hölder) classes (26A16) Continuity and differentiation questions (26B05) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (4)

The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures ⋮ Geometric valuation theory ⋮ The Hadwiger theorem on convex functions. IV: The Klain approach ⋮ Monge-Ampère operators and valuations

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