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$\sigma$ algebra is $\mu$-trivial iff all measurable functions are a.s. constant.
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- Algebra I
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Show that for non-negative measurable functions $f,g$ with $fg \geq 1$ the inequality $(\int f^p)(\int g^p) \geq 1$ holds.
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- Inequality
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Measurability of sets under measurable function.
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Is the adjoint $L^*$ of a bounded linear function $L$ on $C(X;\mathbb{R})$ with $X$ a compact metric space the same as the push-forward on $C(X)^*$?
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Completeness of the sum of two $L^p $ spaces
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Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?
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- Analogy
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- Integral
- Minkowski
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Understanding why $\lim_{h \to 0} \frac{-1}{(2h)^d} \int_{C(h)} \log \hat{\mu}(z) , dz = 0$ in a proof related to the Lévy-Khintchine representation?
math.stackexchange.com | 3 days ago | Article Details | Related Articles
- Lévy process
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Proving that the random variable $\frac{\mathrm{e}^{t Z}-1}{t Z}$ satisfies Kolmogorov's theorem on conditional expectations
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Proving a variational inequality almost everywhere
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Complement of a set and inverse image.
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- Complement
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- Inverse
- Set
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Integral inequality of quasi-integrable functions
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Some properties of averaged modulus of smoothness $\tau_{k}(f, \delta)_{p}$
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Using Lebesgue's dominated convergence theorem to show a function is continuous.
math.stackexchange.com | 2 days ago | Article Details | Related Articles

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Measurable function

Top 25+ "Measurable function" products on Amazon

$\sigma$ algebra is $\mu$-trivial iff all measurable functions are a.s. constant.

Show that for non-negative measurable functions $f,g$ with $fg \geq 1$ the inequality $(\int f^p)(\int g^p) \geq 1$ holds.

Measurability of sets under measurable function.

Is the adjoint $L^$ of a bounded linear function $L$ on $C(X;\mathbb{R})$ with $X$ a compact metric space the same as the push-forward on $C(X)^$?

Completeness of the sum of two $L^p $ spaces

Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?

Understanding why $\lim_{h \to 0} \frac{-1}{(2h)^d} \int_{C(h)} \log \hat{\mu}(z) , dz = 0$ in a proof related to the Lévy-Khintchine representation?

Proving that the random variable $\frac{\mathrm{e}^{t Z}-1}{t Z}$ satisfies Kolmogorov's theorem on conditional expectations

Proving a variational inequality almost everywhere

Complement of a set and inverse image.

Integral inequality of quasi-integrable functions

Some properties of averaged modulus of smoothness $\tau_{k}(f, \delta)_{p}$

Using Lebesgue's dominated convergence theorem to show a function is continuous.

The custom newsfeed you control

Measurable function

Top 25+ "Measurable function" products on Amazon

$\sigma$ algebra is $\mu$-trivial iff all measurable functions are a.s. constant.

Show that for non-negative measurable functions $f,g$ with $fg \geq 1$ the inequality $(\int f^p)(\int g^p) \geq 1$ holds.

Measurability of sets under measurable function.

Is the adjoint $L^*$ of a bounded linear function $L$ on $C(X;\mathbb{R})$ with $X$ a compact metric space the same as the push-forward on $C(X)^*$?

Completeness of the sum of two $L^p $ spaces

Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?

Understanding why $\lim_{h \to 0} \frac{-1}{(2h)^d} \int_{C(h)} \log \hat{\mu}(z) , dz = 0$ in a proof related to the Lévy-Khintchine representation?

Proving that the random variable $\frac{\mathrm{e}^{t Z}-1}{t Z}$ satisfies Kolmogorov's theorem on conditional expectations

Proving a variational inequality almost everywhere

Complement of a set and inverse image.

Integral inequality of quasi-integrable functions

Some properties of averaged modulus of smoothness $\tau_{k}(f, \delta)_{p}$

Using Lebesgue's dominated convergence theorem to show a function is continuous.

Is the adjoint $L^$ of a bounded linear function $L$ on $C(X;\mathbb{R})$ with $X$ a compact metric space the same as the push-forward on $C(X)^$?