Question

Example of a measure space with infinite measure

score 609 · Answer 1 · 2019-06-03 08:52:53

609

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Example of a measure space with infinite measure

Published on 03 Jun 2019 - 8:52

score 28 · Answer 2 · 2019-06-05 10:07:27

28

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For $w \in L^{p}((s,t) ; X), 1 \leq p \lt \infty$, the mollification $J_{h}[w] \rightarrow w$, as $h \rightarrow 0$, in $ L^{p}((s,t) ; X)$.

Published on 05 Jun 2019 - 10:07

score 45 · Answer 3 · 2026-03-30 08:13:47

45

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Looking for a convergent sequence in $W^{1,2}[0,\infty)$ with some properties.

Published on 30 Mar 2026 - 8:13

score 174 · Answer 4 · 2026-03-27 14:13:28

174

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Inversion theorem for Fourier Series

Published on 27 Mar 2026 - 14:13

score 124 · Answer 5 · 2019-06-06 07:27:48

124

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Property of Lp spaces for infinite measures

Published on 06 Jun 2019 - 7:27

score 31 · Answer 6 · 2019-06-06 14:59:39

31

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About the density of a subqpace of $L^2$?

Published on 06 Jun 2019 - 14:59

score 158 · Answer 7 · 2019-06-06 20:20:44

158

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Understanding a subsequence converges in the proof of completeness of $L^p$ in Stein-Shakarchi's Functional Analysis

Published on 06 Jun 2019 - 20:20

score 151 · Answer 8 · 2026-03-25 22:09:59

151

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A possible interpretations of real-valued function $u(x,t)$ as a Banach space-valued function $u(t)(x)$?

Published on 25 Mar 2026 - 22:09

score 52 · Answer 9 · 2019-06-08 18:53:51

52

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finding a function in $L^{p}(0,1)$ that is not $L^{q}(0,1)$ where $p < q$

Published on 08 Jun 2019 - 18:53

score 76 · Answer 10 · 2019-06-08 21:50:54

76

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Why do I need $\vert \vert f_{n} \vert \vert _{p} \xrightarrow{n \to \infty} \vert \vert f \vert \vert _{p}$ here

Published on 08 Jun 2019 - 21:50

score 68 · Answer 11 · 2026-03-30 03:38:30

68

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Limit of Integral of $L^1$ function times $\frac{x}{n}$

Published on 30 Mar 2026 - 3:38

score 120 · Answer 12 · 2019-06-09 06:19:52

120

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Young's inequality for convolution in folland

Published on 09 Jun 2019 - 6:19

score 60 · Answer 13 · 2019-06-10 11:12:24

60

Views

How can I show $f \in L^{\infty}$ using $\sup\limits_{p \in [p_{0},\infty[}\vert \vert f \vert \vert_{p}< \infty$

Published on 10 Jun 2019 - 11:12

score 284 · Answer 14 · 2019-06-10 20:09:28

284

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How was the Dominated Convergence Theorem applied on this proof?

Published on 10 Jun 2019 - 20:09

score 1.4k · Answer 15 · 2019-06-11 08:11:39

1.4k

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Question on L p and L infinity norms

Published on 11 Jun 2019 - 8:11

List Question

Example of a measure space with infinite measure

For $w \in L^{p}((s,t) ; X), 1 \leq p \lt \infty$, the mollification $J_{h}[w] \rightarrow w$, as $h \rightarrow 0$, in $ L^{p}((s,t) ; X)$.

Looking for a convergent sequence in $W^{1,2}[0,\infty)$ with some properties.

Inversion theorem for Fourier Series

Property of Lp spaces for infinite measures

About the density of a subqpace of $L^2$?

Understanding a subsequence converges in the proof of completeness of $L^p$ in Stein-Shakarchi's Functional Analysis

A possible interpretations of real-valued function $u(x,t)$ as a Banach space-valued function $u(t)(x)$?

finding a function in $L^{p}(0,1)$ that is not $L^{q}(0,1)$ where $p < q$

Why do I need $\vert \vert f_{n} \vert \vert _{p} \xrightarrow{n \to \infty} \vert \vert f \vert \vert _{p}$ here

Limit of Integral of $L^1$ function times $\frac{x}{n}$

Young's inequality for convolution in folland

How can I show $f \in L^{\infty}$ using $\sup\limits_{p \in [p_{0},\infty[}\vert \vert f \vert \vert_{p}< \infty$

How was the Dominated Convergence Theorem applied on this proof?

Question on L p and L infinity norms

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