Advanced Search

Let $T_1,T_2$ be nonlinear integral operators of the form (2). There is estimated the expression $\rho \left[\alpha (T_{1}f-T_{2}g)\right]$, where $\rho$ is a modular on the space $L^0\left(\Omega \right)$. This is applied in order to obtain a theorem concerning modular conservativity of a family $T={\left(T_w\right)}_{w\in W}$ of operators $T$ w of the form (2).