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

  • Published:2010-10 Issue:2 Volume:370 Page:672-686
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Chistyakov Vyacheslav V.,Tretyachenko Yuliya V.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference43 articles.

1. Properties of functions f(x,y) of bounded variation;Adams;Trans. Amer. Math. Soc.,1934

2. Metric space valued functions of bounded variation;Ambrosio;Ann. Sc. Norm. Super. Pisa Cl. Sci.,1990

3. Geometric Measure Theory and Applications to the Calculus of Variations;Ambrosio,1999

4. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

5. On Helly's principle for metric semigroup valued BV mappings of two real variables;Balcerzak;Bull. Austral. Math. Soc.,2002

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2. BOUNDED VARIATION ON THE SIERPIŃSKI GASKET;Fractals;2022-07-30

3. Asymptotic (statistical) periodicity in two-dimensional maps;Discrete and Continuous Dynamical Systems - Series B;2021

4. Bivariate functions of bounded variation: Fractal dimension and fractional integral;Indagationes Mathematicae;2020-03

5. Pointwise selection theorems for metric space valued bivariate functions;Journal of Mathematical Analysis and Applications;2017-08
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