2 papers
math.CA2026
On the validity of Tonelli's Theorem
Paolo Roselli, Michel Willem
This work analyzes the validity of Tonelli's theorem, overcoming the traditional assumption of -finiteness. We prove that the existence and equality of iterated integrals for i…
math.GM2025
On the validity of the Radon-Nikodym Theorem
Paolo Roselli, Michel Willem
This paper presents a new general formulation of the Radon-Nikodym theorem in the setting of abstract measure theory. We introduce the notion of weak localizability for a measure a…