A pointwise selection principle for maps of several variables via the total joint variation

DOI10.1016/j.jmaa.2013.02.005zbMath1264.26017OpenAlexW2124848551MaRDI QIDQ1947326

Yuliya V. Tretyachenko, Vyacheslav V. Chistyakov

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.005

zbMATH Keywords

pointwise convergenceselection principlemetric semigroupmaps of several variablestotal joint variation

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Representation and superposition of functions (26B40)

Related Items (2)

Pointwise selection theorems for metric space valued bivariate functions ⋮ An extension of the Rådström cancellation theorem to cornets

Cites Work

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• Maps of several variables of finite total variation. II: E. Helly-type pointwise selection principles
• Selection theorems, based on generalized variation and oscillation
• On the differentiability of multifunctions
• On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle
• A selection principle for mappings of bounded variation of several variables
• A pointwise selection principle for metric semigroup valued functions
• A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I
• The optimal form of selection principles for functions of a real variable
• A theorem on infinite sequences of finitely additive real valued measures
• Some Helly Theorems for Monotone Functions
• Selections of Bounded Variation
• On Helly's principle for metric semigroup valued BV mappings to two real variables
• A generalization of the Helly selection theorem
• An Embedding Theorem for Spaces of Convex Sets

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