List questions from lp-spaces

Published on 11 May 2026 - 5:43

115

Views

Fourier transform and stuff

Published on 09 Apr 2026 - 5:40

559

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Can $f, g \in L^{1}(\mathbb{R})$ imply $ \lim_{x \to \infty} (f * g)(x) = 0 $

Published on 10 May 2026 - 23:39

495

Views

counting measure space is not separable but the corresponding $L^p$ space is separable

Published on 10 May 2026 - 13:25

846

Views

Proving the $\ell^2$ and $\ell^{\infty}$ norms are well-defined by not equivalent

Published on 16 Apr 2026 - 13:27

199

Views

Non-integral representations of Circumferences of Lp norm unit circles for $p\geq 1$

Published on 10 Apr 2026 - 18:43

61

Views

An inequality of weakly convergent series of singular measures

Published on 12 Apr 2026 - 6:51

99

Views

$\lim_{n\to 0} n^p\mu(\{x\in X:|f(x)|>n\})=0$

Published on 15 Apr 2026 - 3:36

74

Views

can we say that $f_j\to 0$ weakly.

Published on 14 Apr 2026 - 5:30

971

Views

Why this is called semi norm?

Published on 10 May 2026 - 12:30

236

Views

Improving the constant in the Poincaré inequality to $\frac{b-a}{\pi}$

Published on 12 Apr 2026 - 12:28

340

Views

Applying the Uniform Boundedness Principle to $\ell ^p$ space

Published on 17 Apr 2026 - 2:31

73

Views

Implicit function theorem for L^p?

Published on 10 May 2026 - 14:45

455

Views

Doubt about a passage on page 24 of the Evans Partial Differential Equations book

Published on 14 Apr 2026 - 10:35

76

Views

sequentially closed and boundedness of set in $L^p$

Published on 15 Apr 2026 - 4:07

List Question

If $\phi \in C^1(\mathbb R)$ and $u \in H^1(a,b)$, then $\phi \circ u \in H^1(a,b)$

Fourier transform and stuff

Can $f, g \in L^{1}(\mathbb{R})$ imply $ \lim_{x \to \infty} (f * g)(x) = 0 $

counting measure space is not separable but the corresponding $L^p$ space is separable

Proving the $\ell^2$ and $\ell^{\infty}$ norms are well-defined by not equivalent

Non-integral representations of Circumferences of Lp norm unit circles for $p\geq 1$

An inequality of weakly convergent series of singular measures

$\lim_{n\to 0} n^p\mu(\{x\in X:|f(x)|>n\})=0$

can we say that $f_j\to 0$ weakly.

Why this is called semi norm?

Improving the constant in the Poincaré inequality to $\frac{b-a}{\pi}$

Applying the Uniform Boundedness Principle to $\ell ^p$ space

Implicit function theorem for L^p?

Doubt about a passage on page 24 of the Evans Partial Differential Equations book

sequentially closed and boundedness of set in $L^p$

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