On a Refinement Type Equation
نویسنده
چکیده
Let (Ω,A, P ) be a complete probability space. We show that the trivial function is the unique L-solution of the following refinement type equation f(x) = Z Ω |φx(x, ω)|f(φ(x, ω))dP (ω) for a wide class of the given functions φ. This class contains functions of the form φ(x, ω) = α(ω)x−β(ω) with −∞ < R Ω log |α(ω)|dP (ω) < 0.
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