Question

Questions about compact metric space $X$ with finite probability measures with finite supremum.

score 24 · Answer 1 · 2026-04-12 19:02:54

24

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Questions about compact metric space $X$ with finite probability measures with finite supremum.

Published on 12 Apr 2026 - 19:02

score 32 · Answer 2 · 2024-02-28 05:47:24

32

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Let $I(x) := \int_{B(x,R)} \frac{f(y)}{|x-y|^{n-1}} dm(y)$. Then there exists $C = C(n)$ such that $|I(x)| \leq CR \cdot Mf(x)$

Published on 28 Feb 2024 - 5:47

score 50 · Answer 3 · 2024-02-29 11:57:47

50

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$g \in L^p_{\operatorname{loc}}(\Omega) \Longleftrightarrow |g|^p \, \chi_\Omega \in L^1_{\operatorname{loc}}(\mathbb R^n) ? $

Published on 29 Feb 2024 - 11:57

score 28 · Answer 4 · 2026-04-10 11:11:38

28

Views

Riesz–Markov–Kakutani representation theorem on a $\sigma$-compact space

Published on 10 Apr 2026 - 11:11

score 28 · Answer 5 · 2026-03-25 23:10:33

28

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Folland chapter 3 exercise 22 Hardy-Littlewood maximal function and maximal theorem

Published on 25 Mar 2026 - 23:10

score 47 · Answer 6 · 2026-04-12 09:41:32

47

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Tonelli and standard procedure application for h = f(x-y)g(x)

Published on 12 Apr 2026 - 9:41

score 20 · Answer 7 · 2026-04-13 18:31:32

20

Views

From the view of fourier series and the completion of space of Riemann integrable functions, how to understand the limitations of Riemann integration

Published on 13 Apr 2026 - 18:31

score 25 · Answer 8 · 2026-04-11 13:35:51

25

Views

Lebesgue Integral on Rough Paths

Published on 11 Apr 2026 - 13:35

score 40 · Answer 9 · 2026-04-13 05:01:40

40

Views

Everywhere existence of marginals

Published on 13 Apr 2026 - 5:01

score 133 · Answer 10 · 2026-04-12 22:50:34

133

Views

$fg \in L^1$ for every $f \in L^2$ implies $g \in L^2$

Published on 12 Apr 2026 - 22:50

score 33 · Answer 11 · 2026-04-10 08:01:27

33

Views

Is there a framework where a derivative of a singular function makes sense?

Published on 10 Apr 2026 - 8:01

score 31 · Answer 12 · 2024-03-12 14:39:40

31

Views

A discussion on different versions of the Lebesgue Differentiation Theorem.

Published on 12 Mar 2024 - 14:39

score 41 · Answer 13 · 2026-04-08 22:37:58

41

Views

Measurability of an integral operator?!

Published on 08 Apr 2026 - 22:37

score 28 · Answer 14 · 2026-04-12 14:33:23

28

Views

Fixing a variable of a $H^1_0(\Omega)$ function

Published on 12 Apr 2026 - 14:33

score 17 · Answer 15 · 2026-04-11 10:49:10

17

Views

Schwarz rearrangement for a function with one variable fixed

Published on 11 Apr 2026 - 10:49

List Question

Questions about compact metric space $X$ with finite probability measures with finite supremum.

Let $I(x) := \int_{B(x,R)} \frac{f(y)}{|x-y|^{n-1}} dm(y)$. Then there exists $C = C(n)$ such that $|I(x)| \leq CR \cdot Mf(x)$

$g \in L^p_{\operatorname{loc}}(\Omega) \Longleftrightarrow |g|^p \, \chi_\Omega \in L^1_{\operatorname{loc}}(\mathbb R^n) ? $

Riesz–Markov–Kakutani representation theorem on a $\sigma$-compact space

Folland chapter 3 exercise 22 Hardy-Littlewood maximal function and maximal theorem

Tonelli and standard procedure application for h = f(x-y)g(x)

From the view of fourier series and the completion of space of Riemann integrable functions, how to understand the limitations of Riemann integration

Lebesgue Integral on Rough Paths

Everywhere existence of marginals

$fg \in L^1$ for every $f \in L^2$ implies $g \in L^2$

Is there a framework where a derivative of a singular function makes sense?

A discussion on different versions of the Lebesgue Differentiation Theorem.

Measurability of an integral operator?!

Fixing a variable of a $H^1_0(\Omega)$ function

Schwarz rearrangement for a function with one variable fixed

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