Volterra-Choquet非线性算子
Volterra-Choquet nonlinear operators
摘要：
本文研究了经典线性Volterra算子的某些性质在何种程度上可以转移到非线性Volterra-Choquet算子上，即用关于非可加集函数的非线性Choquet积分代替经典线性积分得到的关于勒贝格测度的积分.研究了紧性、Lipschitz性质和循环性。
英文摘要：
In this paper we study to what extend some properties of the classical linear Volterra operators could be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the nonlinear Choquet integral with respect to a nonadditive set function. Compactness, Lipschitz and cyclicity properties are studied.
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