On Cauchy Conservative Families of Nonlinear Integral Operators

• Autorzy: Anna Musielak
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

modular function space; nonlinear integral operator; Cauchy conservative family of operators

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2005
• Tom: 45
• Numer: 1

Daty

wydano

2005

online

2017-12-19

Twórcy

autor

Anna Musielak

Identyfikatory

DOI

10.14708/cm.v45i1.5223