Question

$f$ is in $L^p$ iff sum is finite

score 1k · Answer 1 · 2014-07-19 20:24:25

1k

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$f$ is in $L^p$ iff sum is finite

Published on 19 Jul 2014 - 20:24

score 359 · Answer 2 · 2026-03-31 15:44:52

359

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Banach valued sequence spaces $\ell^p(X)$

Published on 31 Mar 2026 - 15:44

score 47 · Answer 3 · 2026-03-29 14:25:06

47

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can we approximate $f,$ in $L^{p}$-norm, by a function $f+h$ which is constant in a some neighbourhood of the point?

Published on 29 Mar 2026 - 14:25

score 113 · Answer 4 · 2026-04-01 09:46:36

113

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For $1 \leq r < p < \infty$ prove the continuous injection of $L^p([0, 1])$ into $L^r([0, 1])$.

Published on 01 Apr 2026 - 9:46

score 1.3k · Answer 5 · 2014-07-20 15:36:06

1.3k

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$C^0$ is a closed subspace of $L^{\infty}$

Published on 20 Jul 2014 - 15:36

score 1.6k · Answer 6 · 2014-07-20 16:01:37

1.6k

Views

Dense subsets of $(L^p(\Omega),\|\cdot\|_p)$

Published on 20 Jul 2014 - 16:01

score 487 · Answer 7 · 2026-03-31 22:46:50

487

Views

Does the Gagliardo–Nirenberg interpolation inequality hold on compact closed manifolds?

Published on 31 Mar 2026 - 22:46

score 40 · Answer 8 · 2014-07-21 11:28:18

40

Views

Don't understand a $L^\infty$ bound argument involving measure of set

Published on 21 Jul 2014 - 11:28

score 268 · Answer 9 · 2014-07-22 12:02:39

268

Views

$xf''(x) , xf', f \in L^{2}$ is $f' \in L^{1}$?

Published on 22 Jul 2014 - 12:02

score 1.6k · Answer 10 · 2014-07-22 13:51:38

1.6k

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$\int_{\mathbb R^{2}} |\int_{\mathbb R} (f_{r}(t-y)- f_{r}(t)) g(t-x) e^{-2\pi i w\cdot t} dt|dx dw \to 0 $ as $ r\to \infty $?

Published on 22 Jul 2014 - 13:51

score 309 · Answer 11 · 2014-07-22 18:22:38

309

Views

Need help with application of Hardy-Littlewood inequality (Marcinkiewicz space and distribution functions)

Published on 22 Jul 2014 - 18:22

score 102 · Answer 12 · 2014-07-23 10:58:22

102

Views

$f\in L^2(0,1)$ if and only if $f\in L^1(0,1)$ and some condition.

Published on 23 Jul 2014 - 10:58

score 61 · Answer 13 · 2026-03-26 01:01:16

61

Views

Showing that a function is bounded in $L^1$ given a bound on its distribution function

Published on 26 Mar 2026 - 1:01

score 682 · Answer 14 · 2014-07-24 16:28:05

682

Views

Shortest p-distance

Published on 24 Jul 2014 - 16:28

score 29 · Answer 15 · 2014-07-24 20:00:14

29

Views

For what values of $a > 0$ does $f(x,y)=(x^{2}+y^{a})^{-1} $ belong to $ L^{1}([0,1]^{2})?$

Published on 24 Jul 2014 - 20:00

List Question

$f$ is in $L^p$ iff sum is finite

Banach valued sequence spaces $\ell^p(X)$

can we approximate $f,$ in $L^{p}$-norm, by a function $f+h$ which is constant in a some neighbourhood of the point?

For $1 \leq r < p < \infty$ prove the continuous injection of $L^p([0, 1])$ into $L^r([0, 1])$.

$C^0$ is a closed subspace of $L^{\infty}$

Dense subsets of $(L^p(\Omega),\|\cdot\|_p)$

Does the Gagliardo–Nirenberg interpolation inequality hold on compact closed manifolds?

Don't understand a $L^\infty$ bound argument involving measure of set

$xf''(x) , xf', f \in L^{2}$ is $f' \in L^{1}$?

$\int_{\mathbb R^{2}} |\int_{\mathbb R} (f_{r}(t-y)- f_{r}(t)) g(t-x) e^{-2\pi i w\cdot t} dt|dx dw \to 0 $ as $ r\to \infty $?

Need help with application of Hardy-Littlewood inequality (Marcinkiewicz space and distribution functions)

$f\in L^2(0,1)$ if and only if $f\in L^1(0,1)$ and some condition.

Showing that a function is bounded in $L^1$ given a bound on its distribution function

Shortest p-distance

For what values of $a > 0$ does $f(x,y)=(x^{2}+y^{a})^{-1} $ belong to $ L^{1}([0,1]^{2})?$

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