List questions from lp-spaces

56

Views

$f_n\to f$ in $L^2$ implies $(f_n)^k\to f^k$ in the sense of distributions for all $k\in\mathbb{N}$?

Published on 16 Apr 2026 - 8:22

91

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non-negative s-measurable functions on a finite measure space

Published on 12 Apr 2026 - 0:20

127

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Does $\ell^3$ norm preserving linear transforms exist?

Published on 13 Apr 2026 - 15:40

41

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$f^{p_1}$ belongs to $L^p(E)$ and $g = \chi_{E}$ belongs to $L^q(E)$?

Published on 17 Apr 2026 - 7:50

122

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Vectorial $L^p$ spaces

Published on 14 Apr 2026 - 11:08

391

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Almost sure convergence of L1 bounded sequence implies L1 convergence

Published on 16 Apr 2026 - 0:27

45

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Continuous projection from $L_p$ onto space spanned by Gaussian (Gaussian Subspaces are complemented in $L_p$)

Published on 13 Apr 2026 - 4:32

43

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Notation Involving Sobolev Spaces I Cannot Find the Meaning Of

Published on 05 May 2026 - 19:46

64

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Continuity of $L^2$-operator

Published on 14 Apr 2026 - 14:00

366

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Convergence of partial sums to Fourier series?

Published on 10 Apr 2026 - 18:50

200

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Operators between $L_p$ spaces.

Published on 11 Apr 2026 - 4:57

166

Views

Convolution of a compactly supported function with a uniform continuous function

Published on 14 Apr 2026 - 7:16

58

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The sequence $(D^{-h_k}_i f)_k \subset L^\infty(\mathbb R^n)$ $\star$-weakly converges to some $f_i \in L^\infty(\mathbb R^n)$.

Published on 15 Apr 2026 - 2:45

132

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Continuity of the product of two $L^p$ functions

Published on 13 Apr 2026 - 16:18

63

Views

Is this infinite product in $L^1(\mathbb{R}, m)$?

Published on 15 Apr 2026 - 10:23

List Question

$f_n\to f$ in $L^2$ implies $(f_n)^k\to f^k$ in the sense of distributions for all $k\in\mathbb{N}$?

non-negative s-measurable functions on a finite measure space

Does $\ell^3$ norm preserving linear transforms exist?

$f^{p_1}$ belongs to $L^p(E)$ and $g = \chi_{E}$ belongs to $L^q(E)$?

Vectorial $L^p$ spaces

Almost sure convergence of L1 bounded sequence implies L1 convergence

Continuous projection from $L_p$ onto space spanned by Gaussian (Gaussian Subspaces are complemented in $L_p$)

Notation Involving Sobolev Spaces I Cannot Find the Meaning Of

Continuity of $L^2$-operator

Convergence of partial sums to Fourier series?

Operators between $L_p$ spaces.

Convolution of a compactly supported function with a uniform continuous function

The sequence $(D^{-h_k}_i f)_k \subset L^\infty(\mathbb R^n)$ $\star$-weakly converges to some $f_i \in L^\infty(\mathbb R^n)$.

Continuity of the product of two $L^p$ functions

Is this infinite product in $L^1(\mathbb{R}, m)$?

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