jpv

Hyderabad, India

May
22
awarded Notable Question
Apr
24
accepted Examples of Wiener Martingales
Apr
24
comment Examples of Wiener Martingales
saz: Thanks. The independence idea is nice and did not occur to me.
Apr
23
asked Examples of Wiener Martingales
Apr
19
comment Why is right-continuity important in the martingale convergence theorem
saz: Thanks. I realize the mistake now,
Apr
19
accepted Why is right-continuity important in the martingale convergence theorem
Apr
18
revised Why is right-continuity important in the martingale convergence theorem
added 41 characters in body
Apr
18
asked Why is right-continuity important in the martingale convergence theorem
Apr
5
asked Proof of (part of) Dunford-Pettis theorem using ultrafilters
Feb
10
asked Defining outer measure using finite dimensional cylinder sets
Jan
13
answered About open set in extended real line
Dec
31
comment Integrability of Composition of continuous and Lebesgue integrable functions
Thanks for the nice counter example.
Dec
31
accepted Integrability of Composition of continuous and Lebesgue integrable functions
Dec
31
revised Integrability of Composition of continuous and Lebesgue integrable functions
deleted 6 characters in body
Dec
31
asked Integrability of Composition of continuous and Lebesgue integrable functions
Dec
29
asked Existence and interchange of integrals
Dec
27
comment Measurability of a function based on the slices
I found this: math.stackexchange.com/questions/661087/…
Dec
27
comment Measurability of a function based on the slices
PhoemueX: It would be great if you could provide a proof. The claim can be translated into slices of sets, i.e. if slices in one direction are measurable and continuous in the other then the set is measurable. Ofcourse, measurability here is in the Borel sense. I did not have much luck in pursuing this approach.
Dec
26
comment Measurability of a function based on the slices
It is not clear to me why $X$ is measurable in your example as $X^{-1}(\{1\}) = \{0\}\times A$ which seems to be non-measurable in $\mathbb{R}^2$. The proof of this claim can be found in Loeve (Page 130 - 140) for example.
Dec
26
asked Measurability of a function based on the slices
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