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15
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Lim Sup of n-th root of integrable functions

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#real-analysis #limsup-and-liminf #measurable-functions
42
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Extreme points of bounded measurable functions with bounded $\ell_2$ norm

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#real-analysis #calculus #lebesgue-integral #gaussian-integral #measurable-functions
118
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is it consistent with AC that every set is measurable?

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#set-theory #axiom-of-choice #measurable-functions
22
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Sequence of measurable functions with |f_n|^2<g

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#measurable-functions
216
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Function almost always periodic for every period is constant

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#measure-theory #almost-everywhere #measurable-functions
676
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Lebesgue-measurable almost everywhere equals Borel measurable function

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#measure-theory #lebesgue-measure #measurable-functions #borel-measures
488
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$f$ is $\mathcal{F} - \mathcal{B}$ measurable $\iff$ $A \in \sigma(\mathcal{F} \times \mathcal{B})$

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#measure-theory #measurable-functions
220
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dimension of vector space of measurable functions over finite set X

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#functions #vector-spaces #measurable-functions
41
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Find a measurable function $g:\mathbb{R}\to\mathbb{R}$ s.t. $\mathbb{E}(g(\mathcal{N}(0,1)))=2$

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#probability #random-variables #normal-distribution #measurable-functions
215
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Question regarding measurable set, Hausdorff-Space and almost everywhere properties of measurable functions f,g

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#general-topology #measure-theory #almost-everywhere #measurable-functions #hausdorff-measure
210
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Why is the set $\{x \mid f(x) \not= g(x)\}$ measurable in a topological hausdorff space?

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#general-topology #measure-theory #measurable-functions #measurable-sets
31
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Uniqueness of transport maps

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#measure-theory #measurable-functions #optimal-transport
37
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to show if f is measurable or not

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#measure-theory #measurable-functions
64
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$\mathbb{E}[f(X,Y)|Y]=\mathbb{E}[f(X,Y)]$ for all bounded measurable $f$ using the monotone class theorem

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#measure-theory #random-variables #conditional-expectation #measurable-functions #monotone-class-theorem
122
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A consequence of the Selection Theorem for the Effros Borel space F(X) - self study

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#descriptive-set-theory #borel-sets #measurable-functions #measurable-sets #polish-spaces

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