On Generalized Step-Functions and Superposition Operators
Copyright policy )On Generalized Step-Functions and Superposition Operators
Abstract For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators.
- Tbilisi State University Georgia
superposition, measurability, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, Measure-preserving transformations, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Nemytskij operator
superposition, measurability, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, Measure-preserving transformations, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Nemytskij operator
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