List questions from almost-everywhere

Published on 31 Dec 2018 - 5:51

58

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Function in $L^2$ that doesn't vanishing

Published on 01 Jan 2019 - 11:19

567

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$\int_A f = \int_A g \implies f = g$ a.e.

Published on 03 Jan 2019 - 21:56

92

Views

If $E[|\sum_{i < l \leq j} \xi_l |^\gamma] \leq (\sum_{i < l \leq j} u_l)^\alpha$ and $\sum u_l < \infty$ then $\sum \xi_l$ converges almost surely

Published on 07 Jan 2019 - 7:28

215

Views

Function almost always periodic for every period is constant

Published on 07 Jan 2019 - 10:18

357

Views

Almost sure convergence of a martingale sum

Published on 07 Jan 2019 - 12:12

40

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For which x the following sequences converges

Published on 07 Jan 2019 - 23:17

262

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Brezis 4.15, $f_n(x)=ne^{−nx}$

Published on 10 Jan 2019 - 22:02

109

Views

If $P(\max_{n \leq i \leq j \leq k \leq m} \min \{|S_i - S_j|, |S_k - S_j|\} \geq \lambda)$ is bounded appropriately, does $\sum \xi_j$ converge a.s.?

Published on 10 Jan 2019 - 22:38

114

Views

Show that this is an inner product

Published on 16 Jan 2019 - 16:29

214

Views

Question regarding measurable set, Hausdorff-Space and almost everywhere properties of measurable functions f,g

Published on 22 Jan 2019 - 3:42

99

Views

Problem seems too easy. Is there a trap? Show that $f(1-f)=0$ almost everywhere...

Published on 03 Feb 2019 - 2:02

33

Views

Proof of converge in probability

Published on 07 Feb 2019 - 9:16

35

Views

How to show $\int_{0}^{1}|f|^{p}|g_{n}-g|^pd\mu$

Published on 08 Feb 2019 - 17:13

150

Views

Show that $n^{\alpha}X_{n} \xrightarrow{n \to \infty} +\infty$ almost surely

Published on 11 Feb 2019 - 0:13

List Question

$f$ is finite a.e if it is locally integrable?

Function in $L^2$ that doesn't vanishing

$\int_A f = \int_A g \implies f = g$ a.e.

If $E[|\sum_{i < l \leq j} \xi_l |^\gamma] \leq (\sum_{i < l \leq j} u_l)^\alpha$ and $\sum u_l < \infty$ then $\sum \xi_l$ converges almost surely

Function almost always periodic for every period is constant

Almost sure convergence of a martingale sum

For which x the following sequences converges

Brezis 4.15, $f_n(x)=ne^{−nx}$

If $P(\max_{n \leq i \leq j \leq k \leq m} \min \{|S_i - S_j|, |S_k - S_j|\} \geq \lambda)$ is bounded appropriately, does $\sum \xi_j$ converge a.s.?

Show that this is an inner product

Question regarding measurable set, Hausdorff-Space and almost everywhere properties of measurable functions f,g

Problem seems too easy. Is there a trap? Show that $f(1-f)=0$ almost everywhere...

Proof of converge in probability

How to show $\int_{0}^{1}|f|^{p}|g_{n}-g|^pd\mu$

Show that $n^{\alpha}X_{n} \xrightarrow{n \to \infty} +\infty$ almost surely

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