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2020 Mathematics Subject Classification: Primary: 26A45 [MSN][ZBL] (Functions of one variable)

2020 Mathematics Subject Classification: Primary: 26B30 Secondary: 28A1526B1549Q15 [MSN][ZBL] (Functions of severable variables)


A numerical characteristic of functions of one or more real variables which is connected with differentiability properties.

Functions of one variable

Classical definition

Modern definition and relation to measure theory

Jordan decomposition

Negative and positive variations

Lebesgue decomposition

Examples

Historical remark

Wiener's generalization

Functions of several variables

Historical remarks

Definition

Caccioppoli sets

Coarea formula

Banach indicatrix

Vitushkin variation

How to Cite This Entry:
Camillo.delellis/sandbox. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Camillo.delellis/sandbox&oldid=27868