Question

Why do we need the absolute value signs when integrating the square of a function?

score 1.6k · Answer 1 · 2014-08-23 23:19:37

1.6k

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Why do we need the absolute value signs when integrating the square of a function?

Published on 23 Aug 2014 - 23:19

score 667 · Answer 2 · 2014-08-24 08:37:27

667

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Compactness of $L^p$ inclusion into $L^q$

Published on 24 Aug 2014 - 8:37

score 31 · Answer 3 · 2014-08-24 09:12:23

31

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About convergence in L^1

Published on 24 Aug 2014 - 9:12

score 387 · Answer 4 · 2026-03-28 13:27:19

387

Views

Which normed space have Fatou's property?

Published on 28 Mar 2026 - 13:27

score 399 · Answer 5 · 2014-08-26 23:45:59

399

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There is no continuous mapping from $L^1([0,1])$ onto $L^\infty([0,1])$

Published on 26 Aug 2014 - 23:45

score 846 · Answer 6 · 2014-08-27 05:01:46

846

Views

$\sin(nx)$ does not contain Cauchy subsequence in $L^p([0,2\pi]) $ for $1\leq p < \infty$

Published on 27 Aug 2014 - 5:01

score 367 · Answer 7 · 2014-08-27 18:26:26

367

Views

Most general type of $L^p(X,\ V)$ space where compactly-supported continuous functions are dense

Published on 27 Aug 2014 - 18:26

score 449 · Answer 8 · 2014-08-27 22:32:13

449

Views

Uniform Boundedness Principle for $L^p( \mathbb{R})$

Published on 27 Aug 2014 - 22:32

score 511 · Answer 9 · 2014-08-28 07:10:41

511

Views

Prove that $l^{\infty}(\mathbb{Z^+})$ is not separable.

Published on 28 Aug 2014 - 7:10

score 186 · Answer 10 · 2014-08-29 06:06:54

186

Views

How is the L$_p$ norm the maximum of its arguments

Published on 29 Aug 2014 - 6:06

score 3.3k · Answer 11 · 2014-08-30 06:19:13

3.3k

Views

composition of $L^{p}$ functions

Published on 30 Aug 2014 - 6:19

score 298 · Answer 12 · 2026-03-25 13:04:44

298

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When is an analytic function in $L^2(\Bbb R)$?

Published on 25 Mar 2026 - 13:04

score 91 · Answer 13 · 2014-09-02 07:38:33

91

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If a function $F$ belongs to mixed Lebesgue space $L^{p,1}$, does its reflection $G(x,y):=F(y,x)$ also lie in the space?

Published on 02 Sep 2014 - 7:38

score 128 · Answer 14 · 2014-09-02 11:22:21

128

Views

Do $\mathbb{R}^n$ and $\mathbb{C}^n$ valued ordinarily measureable functions form a Banach space under p-norm?

Published on 02 Sep 2014 - 11:22

score 76 · Answer 15 · 2014-09-04 03:48:49

76

Views

Convergence in $l^p$ space?

Published on 04 Sep 2014 - 3:48

List Question

Why do we need the absolute value signs when integrating the square of a function?

Compactness of $L^p$ inclusion into $L^q$

About convergence in L^1

Which normed space have Fatou's property?

There is no continuous mapping from $L^1([0,1])$ onto $L^\infty([0,1])$

$\sin(nx)$ does not contain Cauchy subsequence in $L^p([0,2\pi]) $ for $1\leq p < \infty$

Most general type of $L^p(X,\ V)$ space where compactly-supported continuous functions are dense

Uniform Boundedness Principle for $L^p( \mathbb{R})$

Prove that $l^{\infty}(\mathbb{Z^+})$ is not separable.

How is the L$_p$ norm the maximum of its arguments

composition of $L^{p}$ functions

When is an analytic function in $L^2(\Bbb R)$?

If a function $F$ belongs to mixed Lebesgue space $L^{p,1}$, does its reflection $G(x,y):=F(y,x)$ also lie in the space?

Do $\mathbb{R}^n$ and $\mathbb{C}^n$ valued ordinarily measureable functions form a Banach space under p-norm?

Convergence in $l^p$ space?

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