List questions from function-spaces

Published on 25 Mar 2026 - 9:36

44

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Generalization of Pollard's Theorem(1990) regarding covering number

Published on 19 Jul 2022 - 20:26

50

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Help understanding the definition of the function space $\mathcal{L}^\infty(\mu)$

Published on 20 Jul 2022 - 21:16

396

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Definition and norm of an Orlicz space

Published on 25 Mar 2026 - 9:39

83

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Textbooks with examples of continuous functionals

Published on 02 Sep 2022 - 14:20

265

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Relationship between eventually-zero sequences $c_{00}$, finite sequences $\mathbb{R}^\infty$, and square-summable sequences $\ell^2$

Published on 07 Sep 2022 - 18:07

266

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Bound on L2-Norm of Probability Distributions?

Published on 08 Sep 2022 - 3:13

247

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Question about subspace of an Orlicz space

Published on 25 Mar 2026 - 9:38

1.3k

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$L^2$ is a subspace of $L^1$

Published on 03 Oct 2022 - 14:37

130

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To prove that $L^{\infty}$ is a subspace of $L^{\Phi}$(Orlicz space)

Published on 25 Mar 2026 - 9:39

374

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Can someone suggest me a book for $L^{p}$ spaces.

Published on 08 Oct 2022 - 13:46

21

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bounded subset of $\mathcal{C}^1(\Omega)$ is precompact in $\mathcal{C}^0(\Omega)$

Published on 09 Oct 2022 - 15:32

42

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Show that if $v\in L_{t}^{\infty}L_{x}^{2}\cap L_{t}^{2}L_{x}^{6} $, then $v\in L_{t}^{s}L_{x}^{q}$ for $\frac{3}{q}+\frac{2}{s}=\frac{3}{2}$

Published on 10 Oct 2022 - 19:15

83

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Dense Set of Functions

Published on 11 Oct 2022 - 7:23

27

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Condition on function $\Phi$ to get subspace of Orlicz space.

Published on 25 Mar 2026 - 12:49

List Question

Why do we need convex functions to define the Orlicz space?

Generalization of Pollard's Theorem(1990) regarding covering number

Help understanding the definition of the function space $\mathcal{L}^\infty(\mu)$

Definition and norm of an Orlicz space

Textbooks with examples of continuous functionals

Relationship between eventually-zero sequences $c_{00}$, finite sequences $\mathbb{R}^\infty$, and square-summable sequences $\ell^2$

Bound on L2-Norm of Probability Distributions?

Question about subspace of an Orlicz space

$L^2$ is a subspace of $L^1$

To prove that $L^{\infty}$ is a subspace of $L^{\Phi}$(Orlicz space)

Can someone suggest me a book for $L^{p}$ spaces.

bounded subset of $\mathcal{C}^1(\Omega)$ is precompact in $\mathcal{C}^0(\Omega)$

Show that if $v\in L_{t}^{\infty}L_{x}^{2}\cap L_{t}^{2}L_{x}^{6} $, then $v\in L_{t}^{s}L_{x}^{q}$ for $\frac{3}{q}+\frac{2}{s}=\frac{3}{2}$

Dense Set of Functions

Condition on function $\Phi$ to get subspace of Orlicz space.

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