Difference between revisions of "User:Camillo.delellis/sandbox"
From Encyclopedia of Mathematics
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| + | 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=== | ||
Revision as of 10:39, 10 September 2012
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=27866
Camillo.delellis/sandbox. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Camillo.delellis/sandbox&oldid=27866