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 98 · Answer 1 · 2026-03-25 11:21:45

98

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 25 Mar 2026 - 11:21

score 123 · Answer 2 · 2026-03-25 11:24:06

123

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 25 Mar 2026 - 11:24

score 28 · Answer 3 · 2026-03-25 11:23:41

28

Views

Is function differentiation an automorphism on continious function space?

Published on 25 Mar 2026 - 11:23

score 48 · Answer 4 · 2026-03-25 11:18:08

48

Views

Consequence of locally compact space

Published on 25 Mar 2026 - 11:18

score 58 · Answer 5 · 2026-03-25 11:19:02

58

Views

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

Published on 25 Mar 2026 - 11:19

score 63 · Answer 6 · 2026-03-25 11:22:44

63

Views

Minimizer of a functional over a set

Published on 25 Mar 2026 - 11:22

score 30 · Answer 7 · 2026-03-25 11:21:47

30

Views

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

Published on 25 Mar 2026 - 11:21

score 120 · Answer 8 · 2026-03-25 11:21:46

120

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 25 Mar 2026 - 11:21

score 79 · Answer 9 · 2026-03-25 11:24:08

79

Views

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

Published on 25 Mar 2026 - 11:24

score 79 · Answer 10 · 2026-03-25 11:20:13

79

Views

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

Published on 25 Mar 2026 - 11:20

score 50 · Answer 11 · 2026-03-25 11:17:18

50

Views

An analysis problem involving function space and precompactness

Published on 25 Mar 2026 - 11:17

score 84 · Answer 12 · 2026-03-25 11:20:09

84

Views

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

Published on 25 Mar 2026 - 11:20

score 176 · Answer 13 · 2026-03-25 11:18:11

176

Views

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

Published on 25 Mar 2026 - 11:18

score 65 · Answer 14 · 2026-03-25 11:24:07

65

Views

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

Published on 25 Mar 2026 - 11:24

score 79 · Answer 15 · 2026-03-25 11:19:16

79

Views

Show that C(R) dense in R^R

Published on 25 Mar 2026 - 11:19

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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