Question

Lebesgue decomposition of a measure

score 775 · Answer 1 · 2026-04-12 13:37:14

775

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Lebesgue decomposition of a measure

Published on 12 Apr 2026 - 13:37

score 41 · Answer 2 · 2026-04-11 18:07:26

41

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Is there a version of the rearrangement inequality for nonnegative functions on [0,1]?

Published on 11 Apr 2026 - 18:07

score 837 · Answer 3 · 2026-04-13 17:16:52

837

Views

There are no bounded linear functional on $L^p(\mathbb{R})$ if $0<p<1.$

Published on 13 Apr 2026 - 17:16

score 165 · Answer 4 · 2026-04-11 15:12:22

165

Views

Problem 6. Barry Simon. A comprehensive course in analysis.

Published on 11 Apr 2026 - 15:12

score 338 · Answer 5 · 2026-04-14 07:17:26

338

Views

Why does the lower bound on the Hardy-Littlewood maximal function make it non-integrable?

Published on 14 Apr 2026 - 7:17

score 44 · Answer 6 · 2026-04-10 15:06:23

44

Views

A problem about notation of expectation value

Published on 10 Apr 2026 - 15:06

score 328 · Answer 7 · 2026-05-11 01:16:27

328

Views

Is the domain of convergence of a sequence of measurable functions measurable? (general targets)

Published on 11 May 2026 - 1:16

score 500 · Answer 8 · 2026-05-11 01:16:27

500

Views

Let $f$ be non negative and $\int_\Omega fd\mu$ is finite then f is finite valued almost everywhere

Published on 11 May 2026 - 1:16

score 993 · Answer 9 · 2026-04-12 13:37:06

993

Views

function is not Lebesgue integrable

Published on 12 Apr 2026 - 13:37

score 975 · Answer 10 · 2026-04-16 11:18:34

975

Views

Converse of Jensen's inequality

Published on 16 Apr 2026 - 11:18

score 36 · Answer 11 · 2026-04-11 20:34:07

36

Views

Is $\sum_{k=1}^\infty \sum_{\ell=1}^\infty a_ib_j1_{\{X=a_i\}}1_{\{Y=b_j\}}=\sum_{\ell=1}^\infty \sum_{k=1}^\infty $ true?

Published on 11 Apr 2026 - 20:34

score 148 · Answer 12 · 2026-05-10 14:40:35

148

Views

If $f_n \longrightarrow f$ almost everywhere and $g_n \longrightarrow g$ almost everywhere

Published on 10 May 2026 - 14:40

score 86 · Answer 13 · 2026-04-16 10:57:42

86

Views

Finding the maximum of $\mathbb{E}_{\mathbb{Q}_v}\big[\max\{K-(1+R)s_0,0\}\big]$

Published on 16 Apr 2026 - 10:57

score 190 · Answer 14 · 2026-04-13 07:24:19

190

Views

Functions are integrable with respect to a measure

Published on 13 Apr 2026 - 7:24

score 27 · Answer 15 · 2026-04-11 23:37:32

27

Views

Stronger continuity of measure from below?

Published on 11 Apr 2026 - 23:37

List Question

Lebesgue decomposition of a measure

Is there a version of the rearrangement inequality for nonnegative functions on [0,1]?

There are no bounded linear functional on $L^p(\mathbb{R})$ if $0<p<1.$

Problem 6. Barry Simon. A comprehensive course in analysis.

Why does the lower bound on the Hardy-Littlewood maximal function make it non-integrable?

A problem about notation of expectation value

Is the domain of convergence of a sequence of measurable functions measurable? (general targets)

Let $f$ be non negative and $\int_\Omega fd\mu$ is finite then f is finite valued almost everywhere

function is not Lebesgue integrable

Converse of Jensen's inequality

Is $\sum_{k=1}^\infty \sum_{\ell=1}^\infty a_ib_j1_{\{X=a_i\}}1_{\{Y=b_j\}}=\sum_{\ell=1}^\infty \sum_{k=1}^\infty $ true?

If $f_n \longrightarrow f$ almost everywhere and $g_n \longrightarrow g$ almost everywhere

Finding the maximum of $\mathbb{E}_{\mathbb{Q}_v}\big[\max\{K-(1+R)s_0,0\}\big]$

Functions are integrable with respect to a measure

Stronger continuity of measure from below?

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