List questions from lp-spaces

Published on 12 Apr 2026 - 8:58

43

Views

Showing $\lim \int_0 ^1 f_1(x)f_2(x)\cos (2\pi nx)=0$ for some $f_1,f_2\in L^p$

Published on 28 May 2015 - 8:02

50

Views

Existence of a global limit in $L^1([-N,N])$ for each $N\in \mathbb{N}$

Published on 13 Apr 2026 - 22:12

90

Views

Showing a sum of $\vert f(x+k)\vert $ belongs to $L^{\infty}$ if $f,f'\in L^1$

Published on 13 Apr 2026 - 18:45

614

Views

Is the Fourier transform a conformal map on $L^{2}$?

Published on 13 Apr 2026 - 16:03

146

Views

Showing an integral is in $L^1$

Published on 11 Apr 2026 - 1:26

410

Views

Defining a bounded operator on $l^p$

Published on 09 Apr 2026 - 3:58

128

Views

Compactness and (global) convergence in measure

Published on 10 Apr 2026 - 14:52

105

Views

Converge of a sequence in $L^p(\mathbb{R}^3)$

Published on 01 Jun 2015 - 14:09

37

Views

$f_n$ converges in duality with $C_b$ and is uniformly bounded then it converges in duality with $L^1$

Published on 01 Jun 2015 - 17:56

73

Views

$L^1$ functions at $\infty$ to $\infty$

Published on 13 Apr 2026 - 16:09

141

Views

Definition of functions in $L^p$ space

Published on 12 Apr 2026 - 23:10

76

Views

$L^p$ space corollary

Published on 13 Apr 2026 - 12:21

1.5k

Views

Are continuous functions dense in $L^1$?

Published on 12 Apr 2026 - 3:17

379

Views

About the definition of Sobolev Spaces

Published on 10 Apr 2026 - 20:19

List Question

$l^p$ space not having inner product

Showing $\lim \int_0 ^1 f_1(x)f_2(x)\cos (2\pi nx)=0$ for some $f_1,f_2\in L^p$

Existence of a global limit in $L^1([-N,N])$ for each $N\in \mathbb{N}$

Showing a sum of $\vert f(x+k)\vert $ belongs to $L^{\infty}$ if $f,f'\in L^1$

Is the Fourier transform a conformal map on $L^{2}$?

Showing an integral is in $L^1$

Defining a bounded operator on $l^p$

Compactness and (global) convergence in measure

Converge of a sequence in $L^p(\mathbb{R}^3)$

$f_n$ converges in duality with $C_b$ and is uniformly bounded then it converges in duality with $L^1$

$L^1$ functions at $\infty$ to $\infty$

Definition of functions in $L^p$ space

$L^p$ space corollary

Are continuous functions dense in $L^1$?

About the definition of Sobolev Spaces

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