Maps of several variables of finite total variation. I: Mixed differences and the total variation

DOI10.1016/j.jmaa.2010.04.055zbMath1200.26018OpenAlexW2086137503MaRDI QIDQ984827

Vyacheslav V. Chistyakov, Yuliya V. Tretyachenko

Publication date: 20 July 2010

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.2010.04.055

zbMATH Keywords

total variationpointwise convergenceFatou type theoremfunctions of several variables with values in a metric semigroup

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (7)

BOUNDED VARIATION ON THE SIERPIŃSKI GASKET ⋮ Pointwise selection theorems for metric space valued bivariate functions ⋮ Uniformly continuous superposition operators in the space of functions of bounded \(n\)-dimensional \(\Phi\)-variation ⋮ On metric semigroups-valued functions of bounded Riesz-\(\Phi\)-variation in several variables ⋮ Maps of several variables of finite total variation. II: E. Helly-type pointwise selection principles ⋮ Bivariate functions of bounded variation: fractal dimension and fractional integral ⋮ Asymptotic (statistical) periodicity in two-dimensional maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Selections of bounded variation under the excess restrictions
• Properties of the space of proper functions
• 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
• On the points of regularity of multivariate functions of bounded variation
• On mappings of bounded variation
• A selection principle for mappings of bounded variation of several variables
• A pointwise selection principle for metric semigroup valued functions
• The optimal form of selection principles for functions of a real variable
• A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. II
• Sulla variazione totale di una funzione metrica
• Weakly Differentiable Functions
• On the theory of set-valued maps of bounded variation of one real variable
• Selections of Bounded Variation
• On Definitions of Bounded Variation for Functions of Two Variables
• On helly's theorem for functions of several variables and its applications to variational problems^∗
• On Helly's principle for metric semigroup valued BV mappings to two real variables
• An Embedding Theorem for Spaces of Convex Sets

This page was built for publication: Maps of several variables of finite total variation. I: Mixed differences and the total variation