On second $\kappa$-variation

Jurancy Josefina Ereú, Lorena Maria Lopez, and Nelson José Merentes. "On second $\kappa $-variation." Commentationes Mathematicae 56.2 (2016): null. <http://eudml.org/doc/292381>.

@article{JurancyJosefinaEreú2016,
abstract = {We present the notion of bounded second $\kappa $-variation for real functions defined on an interval $[a,b]$. We introduce the class $\kappa BV^\{2\}([a,b])$ of all functions of bounded second $\kappa $-variation on $[a,b]$. We show several properties of this class and present a sufficient condition under which a composition operator acts between these spaces.},
author = {Jurancy Josefina Ereú, Lorena Maria Lopez, Nelson José Merentes},
journal = {Commentationes Mathematicae},
keywords = {functions of bounded second variation; functions of bounded variation; $\kappa $-function},
language = {eng},
number = {2},
pages = {null},
title = {On second $\kappa $-variation},
url = {http://eudml.org/doc/292381},
volume = {56},
year = {2016},
}

TY - JOUR
AU - Jurancy Josefina Ereú
AU - Lorena Maria Lopez
AU - Nelson José Merentes
TI - On second $\kappa $-variation
JO - Commentationes Mathematicae
PY - 2016
VL - 56
IS - 2
SP - null
AB - We present the notion of bounded second $\kappa $-variation for real functions defined on an interval $[a,b]$. We introduce the class $\kappa BV^{2}([a,b])$ of all functions of bounded second $\kappa $-variation on $[a,b]$. We show several properties of this class and present a sufficient condition under which a composition operator acts between these spaces.
LA - eng
KW - functions of bounded second variation; functions of bounded variation; $\kappa $-function
UR - http://eudml.org/doc/292381
ER -