Functions of bounded variations on compact subsets of $ℂ$

Jose Gimenez, Nelson Merentes, and Miguel Vivas. "Functions of bounded variations on compact subsets of $\mathbb {C}$." Commentationes Mathematicae 54.1 (2014): null. <http://eudml.org/doc/292512>.

@article{JoseGimenez2014,
abstract = {In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane $\mathbb \{C\}$, based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator $C_\varphi $ to act between two such spaces.},
author = {Jose Gimenez, Nelson Merentes, Miguel Vivas},
journal = {Commentationes Mathematicae},
keywords = {Functions of bounded variation, variation along a curve, composition operator},
language = {eng},
number = {1},
pages = {null},
title = {Functions of bounded variations on compact subsets of $\mathbb \{C\}$},
url = {http://eudml.org/doc/292512},
volume = {54},
year = {2014},
}

TY - JOUR
AU - Jose Gimenez
AU - Nelson Merentes
AU - Miguel Vivas
TI - Functions of bounded variations on compact subsets of $\mathbb {C}$
JO - Commentationes Mathematicae
PY - 2014
VL - 54
IS - 1
SP - null
AB - In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane $\mathbb {C}$, based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator $C_\varphi $ to act between two such spaces.
LA - eng
KW - Functions of bounded variation, variation along a curve, composition operator
UR - http://eudml.org/doc/292512
ER -