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Pointwise convergence on dense set extension

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#real-analysis #functional-analysis #measure-theory #compactness
116
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About $f:[0,1]\rightarrow \mathbb{R}$ integrable with $f \geq 0$, and $A_{t}=\{x\in [0,1]\mid t \leq f(x) \leq 2t\}$

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#real-analysis #measure-theory #lebesgue-integral
194
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Convergence to zero in total variation: Seeking a contradiction

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#functional-analysis #measure-theory #bounded-variation #geometric-measure-theory #total-variation
180
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Minimizing total variation with small norm in a compact set

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#functional-analysis #measure-theory #bounded-variation #geometric-measure-theory #total-variation
108
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Suppose $\mu$ and $\nu$ are finite positive measures on a measuable space

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#measure-theory #hilbert-spaces
270
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Let $f\in L^p (R)$ for $1\leq p<\infty$ and let $f_t(x)=f(x-t)$.

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#measure-theory #hilbert-spaces #lebesgue-measure
180
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Suppose $f_n\rightarrow f$ Point wise a.e.

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#measure-theory #hilbert-spaces
60
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Probability theory inequality

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#probability-theory #measure-theory
106
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Can we apply Egorov's theorem?

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#limits #measure-theory #convergence-divergence #uniform-convergence
2.1k
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Cantor-Lebesgue function maps a measurable set onto non measurable set (proof verification)

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#measure-theory
67
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Is there a link between Radon Measure and Radon-Nikodym theorem?

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#measure-theory
145
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How do not generate a $\sigma$-algebra

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#real-analysis #analysis #measure-theory #reference-request #lebesgue-measure
706
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A question relating to uniform integrability and tightness

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#real-analysis #integration #measure-theory #lebesgue-integral #lebesgue-measure
1.7k
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The Definite Integral Problem (with a twist)?

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#measure-theory #recreational-mathematics #riemann-integration #dirichlet-series
53
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Probability theory - request for proof-verification f(further properties of characterisitc functions)

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#probability-theory #measure-theory #proof-verification #proof-writing #characteristic-functions

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