Question

$\sum_{n \in \mathbb Z} |\hat {f}(n)|^p |n|^{p-2}) \leq C_p \|f\|^p_L$ where $p \in (1,2],$ $f \in L^p(\Bbb T)$

score 97 · Answer 1 · 2020-06-22 11:06:06

97

Views

$\sum_{n \in \mathbb Z} |\hat {f}(n)|^p |n|^{p-2}) \leq C_p \|f\|^p_L$ where $p \in (1,2],$ $f \in L^p(\Bbb T)$

Published on 22 Jun 2020 - 11:06

score 122 · Answer 2 · 2020-07-30 06:48:03

122

Views

Prove the zero set of a proper ideal of the ring of continuous complex-valued function on a compact space is nonempty

Published on 30 Jul 2020 - 6:48

score 27 · Answer 3 · 2023-02-24 07:49:10

27

Views

Is function differentiation an automorphism on continious function space?

Published on 24 Feb 2023 - 7:49

score 47 · Answer 4 · 2023-03-06 07:43:09

47

Views

Consequence of locally compact space

Published on 06 Mar 2023 - 7:43

score 57 · Answer 5 · 2023-03-13 22:31:04

57

Views

Function in $W^{1,2}(\mathbb{R}^3)$, but not in $L^1(\mathbb{R^3})$

Published on 13 Mar 2023 - 22:31

score 62 · Answer 6 · 2023-03-14 14:36:14

62

Views

Minimizer of a functional over a set

Published on 14 Mar 2023 - 14:36

score 29 · Answer 7 · 2023-03-15 05:03:31

29

Views

Show that $\{f\in Z^Y\mid f^{-1}(F)\subseteq G\}$ is open in the compact-open topology

Published on 15 Mar 2023 - 5:03

score 119 · Answer 8 · 2023-04-06 20:02:58

119

Views

What is the boundary of $ A=\{u : |u^{\prime}|\le 2 \text{ and } u(x)\neq k\pi,\forall k\in\mathbb{Z}, \forall x\in [0, 1] \}$?

Published on 06 Apr 2023 - 20:02

score 78 · Answer 9 · 2023-04-07 05:20:19

78

Views

Infinite dimensional space as a length of a vector or as a number of basis function.

Published on 07 Apr 2023 - 5:20

score 78 · Answer 10 · 2023-04-12 08:42:24

78

Views

If a function belongs to a homogeneous Sobolev space based on a rectangle, why it also belong to a Sobolev space

Published on 12 Apr 2023 - 8:42

score 49 · Answer 11 · 2023-04-21 02:23:58

49

Views

An analysis problem involving function space and precompactness

Published on 21 Apr 2023 - 2:23

score 83 · Answer 12 · 2023-05-06 18:37:34

83

Views

On a Skorokhod-like space and continuity a.e. of a counting function on it

Published on 06 May 2023 - 18:37

score 175 · Answer 13 · 2023-05-23 11:31:23

175

Views

Is $T$ totally bounded when $C_u(T)$ is separable?

Published on 23 May 2023 - 11:31

score 64 · Answer 14 · 2023-06-04 18:02:10

64

Views

Comparing subspace topology C(R) with induced topology on C(R)

Published on 04 Jun 2023 - 18:02

score 78 · Answer 15 · 2023-06-04 20:13:52

78

Views

Show that C(R) dense in R^R

Published on 04 Jun 2023 - 20:13

List Question

$\sum_{n \in \mathbb Z} |\hat {f}(n)|^p |n|^{p-2}) \leq C_p \|f\|^p_L$ where $p \in (1,2],$ $f \in L^p(\Bbb T)$

Prove the zero set of a proper ideal of the ring of continuous complex-valued function on a compact space is nonempty

Is function differentiation an automorphism on continious function space?

Consequence of locally compact space

Function in $W^{1,2}(\mathbb{R}^3)$, but not in $L^1(\mathbb{R^3})$

Minimizer of a functional over a set

Show that $\{f\in Z^Y\mid f^{-1}(F)\subseteq G\}$ is open in the compact-open topology

What is the boundary of $ A=\{u : |u^{\prime}|\le 2 \text{ and } u(x)\neq k\pi,\forall k\in\mathbb{Z}, \forall x\in [0, 1] \}$?

Infinite dimensional space as a length of a vector or as a number of basis function.

If a function belongs to a homogeneous Sobolev space based on a rectangle, why it also belong to a Sobolev space

An analysis problem involving function space and precompactness

On a Skorokhod-like space and continuity a.e. of a counting function on it

Is $T$ totally bounded when $C_u(T)$ is separable?

Comparing subspace topology C(R) with induced topology on C(R)

Show that C(R) dense in R^R

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