11 июл. 2013 г. · In the theorem statement for Fubini's theorem, it says that ∫A×B|f(x,y)|d(x,y)<∞. I get that it is saying that |f| - when integrated over the product measure

30 мар. 2020 г. · The conditions of Fubini's theorem are satisfied for a continuous function on a compact set. While that is a sufficient criterion, it is far from necessary.

22 окт. 2020 г. · To check the hypothesis of Fubini's theorem, we usually apply Tonelli's theorem to guarantee that f is integrable (with repsect to the product measure).

30 мар. 2012 г. · The conditions of Fubini's theorem satisfied for probability measures, provided that the function is measurable and bounded above or below.

6 янв. 2020 г. · @Alias__ Yes any process with continuous paths is a measurable process and the integrability condition also holds for Brownian Motion .

25 февр. 2015 г. · Fubini's theorem for conditional expectations ... I need to prove that if E∫ba|Xu|du=∫baE|Xu|du is finite then: E[∫baXudu|G]=∫baE[Xu∣G]du. I just ...

18 янв. 2021 г. · I am confronted with the following dilemma: what are the conditions under which Fubini's theorem is applicable in order to exchange Integrals and Expectations.

20 нояб. 2014 г. · One Question about the Fubini's Theorem ... The Fubini's Theorem says: If function f:X×Y→R is integrable over X×Y, then ∫X×Yf(x,y)dxdy=∫Xdx∫Yf(x,y) ...

8 мар. 2017 г. · In general, Fubini's theorem only holds when f(x,y) is integrable, i.e. when ∫X×Y|f(x,y)|d(x,y)<∞. But in your situation, f(x,y) is a product ...

29 сент. 2011 г. · Fubini's theorem says that a double integral equals an iterated integral if the double integral is absolutely integrable. My question is: is the ...