Question

Definition regarding $L_2$-norm. Is $\|u\|_{L_2(\Omega)} \geq \|u\|_{L_2(\Gamma)} \ ?$

score 42 · Answer 1 · 2026-04-02 12:25:28

42

Views

Definition regarding $L_2$-norm. Is $\|u\|_{L_2(\Omega)} \geq \|u\|_{L_2(\Gamma)} \ ?$

Published on 02 Apr 2026 - 12:25

score 115 · Answer 2 · 2020-01-29 16:19:11

115

Views

Problem on $L^p $ space

Published on 29 Jan 2020 - 16:19

score 239 · Answer 3 · 2026-03-31 23:54:50

239

Views

Class of Fourier Multipliers with $L^2$-Boundedness is Equal to $L^\infty$

Published on 31 Mar 2026 - 23:54

score 22 · Answer 4 · 2020-01-30 13:23:11

22

Views

Extension By zero maps functions in $L^P(\Omega)$ into functions in $L^P(\mathbb{R^N})$

Published on 30 Jan 2020 - 13:23

score 28 · Answer 5 · 2026-02-24 02:13:11

28

Views

About the convergence of integrals of absolute functions

Published on 24 Feb 2026 - 2:13

score 64 · Answer 6 · 2026-04-01 01:15:47

64

Views

Proving Equivalence of Classes of Fourier Multipliers

Published on 01 Apr 2026 - 1:15

score 32 · Answer 7 · 2026-03-25 17:44:45

32

Views

How to prove that the maximum solution of different power of p of elements s.t. unit $\ell_2$-norm constraint exists when $x_i<x_j$ if $p_i<p_j$?

Published on 25 Mar 2026 - 17:44

score 161 · Answer 8 · 2026-03-28 03:26:01

161

Views

Riemann Sum Approximations of Ito Integral for Deterministic Functions

Published on 28 Mar 2026 - 3:26

score 36 · Answer 9 · 2026-04-04 07:55:18

36

Views

Inequality involving the measure of $\displaystyle\limsup_{n\to\infty}(\{x\in{}X:|f_n(x)|\geq{}a/2\})$

Published on 04 Apr 2026 - 7:55

score 66 · Answer 10 · 2026-03-27 02:37:45

66

Views

Well-definedness of inclusion of $L^{p}$-spaces.

Published on 27 Mar 2026 - 2:37

score 61 · Answer 11 · 2026-04-04 07:53:30

61

Views

Does $f(x + n)$ go to zero for almost all $x \in \mathbb{R}$ and $f$ integrable.

Published on 04 Apr 2026 - 7:53

score 56 · Answer 12 · 2020-02-05 09:11:10

56

Views

If $u_n \to u$ in $L^2(\Omega)$ and $v_n \rightharpoonup^* v$ in $L^\infty(\Omega)$, does $u_nv_n \rightharpoonup uv$ in $L^2(\Omega)$?

Published on 05 Feb 2020 - 9:11

score 94 · Answer 13 · 2020-02-05 10:16:45

94

Views

Inclusion of $C^0(\bar\Omega)$ in $L^p(\Omega)$

Published on 05 Feb 2020 - 10:16

score 94 · Answer 14 · 2026-04-01 01:14:52

94

Views

I cannot prove that $f \notin L^\infty(\mathbb{R}^n)$. $f$ is defined as follows:

Published on 01 Apr 2026 - 1:14

score 851 · Answer 15 · 2020-02-06 10:29:18

851

Views

Weak convergence of oscillating functions in $L^1(0,1)$

Published on 06 Feb 2020 - 10:29

List Question

Definition regarding $L_2$-norm. Is $\|u\|_{L_2(\Omega)} \geq \|u\|_{L_2(\Gamma)} \ ?$

Problem on $L^p $ space

Class of Fourier Multipliers with $L^2$-Boundedness is Equal to $L^\infty$

Extension By zero maps functions in $L^P(\Omega)$ into functions in $L^P(\mathbb{R^N})$

About the convergence of integrals of absolute functions

Proving Equivalence of Classes of Fourier Multipliers

How to prove that the maximum solution of different power of p of elements s.t. unit $\ell_2$-norm constraint exists when $x_i<x_j$ if $p_i<p_j$?

Riemann Sum Approximations of Ito Integral for Deterministic Functions

Inequality involving the measure of $\displaystyle\limsup_{n\to\infty}(\{x\in{}X:|f_n(x)|\geq{}a/2\})$

Well-definedness of inclusion of $L^{p}$-spaces.

Does $f(x + n)$ go to zero for almost all $x \in \mathbb{R}$ and $f$ integrable.

If $u_n \to u$ in $L^2(\Omega)$ and $v_n \rightharpoonup^* v$ in $L^\infty(\Omega)$, does $u_nv_n \rightharpoonup uv$ in $L^2(\Omega)$?

Inclusion of $C^0(\bar\Omega)$ in $L^p(\Omega)$

I cannot prove that $f \notin L^\infty(\mathbb{R}^n)$. $f$ is defined as follows:

Weak convergence of oscillating functions in $L^1(0,1)$

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