On Cauchy Conservative Families of Nonlinear Integral Operators

Anna Musielak. "On Cauchy Conservative Families of Nonlinear Integral Operators." Commentationes Mathematicae 45.1 (2005): null. <http://eudml.org/doc/292211>.

@article{AnnaMusielak2005,
abstract = {Let $T_1, T_2$ be nonlinear integral operators of the form (2). There is estimated the expression $\rho [\alpha (T_1 f - T_2 g)]$, where $\rho $ is a modular on the space $L^0(\Omega )$. This is applied in order to obtain a theorem concerning modular conservativity of a family $T = (T_w)_\{w\in W\}$ of operators $T$ w of the form (2).},
author = {Anna Musielak},
journal = {Commentationes Mathematicae},
keywords = {modular function space; nonlinear integral operator; Cauchy conservative family of operators},
language = {eng},
number = {1},
pages = {null},
title = {On Cauchy Conservative Families of Nonlinear Integral Operators},
url = {http://eudml.org/doc/292211},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Anna Musielak
TI - On Cauchy Conservative Families of Nonlinear Integral Operators
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 1
SP - null
AB - Let $T_1, T_2$ be nonlinear integral operators of the form (2). There is estimated the expression $\rho [\alpha (T_1 f - T_2 g)]$, where $\rho $ is a modular on the space $L^0(\Omega )$. This is applied in order to obtain a theorem concerning modular conservativity of a family $T = (T_w)_{w\in W}$ of operators $T$ w of the form (2).
LA - eng
KW - modular function space; nonlinear integral operator; Cauchy conservative family of operators
UR - http://eudml.org/doc/292211
ER -