Outer Measures and Total Variation

Type: Article

Publication Date: 1981-09-01

Citations: 1

DOI: https://doi.org/10.4153/cmb-1981-051-0

Abstract

In this note we collect some observations on the outer measures ψ f and ψ f that have been introduced in [4] and which describe the total variation of the function f . These properties have direct applications to the study of the derivative and the relative derivative. For definitions and notation the reader is referred to [4].

Locations

  • Canadian Mathematical Bulletin - View - PDF

Similar Works

Action Title Year Authors
+ Remarks on estimates in the total-variation metric 2000 V. Čekanavičius
+ The Derivative of the Total Variation Function 1971 G. A. Heuer
+ PDF Chat Metric separability and outer integrals 1940 John F. Randolph
+ Outer measures and stochastic integrals 1992 Maurice Sion
+ Isometries of probability measures with respect to the total variation distance 2021 Грегор Долинар
Bojan Kuzma
Đorđe Mitrović
+ Metric Outer Measures and Borel Outer Measures 2019
+ The approximate variation and its properties 2021 Vyacheslav V. Chistyakov
+ The Anisotropic Total Variation and Surface Area Measures 2023 Liran Rotem
+ The anisotropic total variation and surface area measures 2022 Liran Rotem
+ Convergence of total variation of curvature measures 2008 Jan Rataj
+ PDF Chat Distant bounded variation and products of derivatives 1977 Richard J. Fleissner
+ Spherical derivative and Picard sets of entire functions 1989 N. V. Zabolotskii
+ PDF Chat Functions of generalized variation 1980 S. Perlman
+ Regular measures and inner product spaces 1992 Anatolij Dvurečenskij
+ Regular Variation of Measures 2024 Sidney I. Resnick
+ PDF Chat Bounded variation property of a measure 1973 Masahiro Takahashi
+ On the variation detracting property of a class of operators 2006 Octavian Agratini
+ A formula for the total variation of SBV functions 2015 Nicola Fusco
Gioconda Moscariello
Carlo Sbordone
+ Functions of restricted variation 1959 Preston C. Hammer
John C. Holladay
+ PDF Chat Smoothness Properties of Quasi-Measures 2008 D. J. Grubb
Tim LaBerge

Works That Cite This (1)

Action Title Year Authors
+ Bibliography 2012 Pat Muldowney