List questions from lp-spaces

Published on 04 Apr 2015 - 23:56

948

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Convergence in $L^2$ norm given inner product converges

Published on 11 Apr 2026 - 13:53

467

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Generalization of Minkowski inequality

Published on 06 Apr 2015 - 8:22

1.9k

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Show that $L^{\infty}$ space does not have a countable dense set.

Published on 12 Apr 2026 - 21:49

248

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Duality (conjugate) function for $f \in L^\infty$

Published on 12 Apr 2026 - 9:54

133

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Inequality for $L^p$ spaces

Published on 12 Apr 2026 - 6:49

436

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$f \in L^p(\mathbb{R^d})\cap L^r(\mathbb{R^d})$ implies $f\in L^q(\mathbb{R^d})$ where $p<q<r$

Published on 11 Apr 2015 - 3:21

1.1k

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Proving a function is L2

Published on 13 Apr 2026 - 0:34

207

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How to check some topological concepts in product and direct sum spaces

Published on 08 Apr 2026 - 21:32

392

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Showing that a function is L1

Published on 12 Apr 2026 - 16:23

77

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Can we determine whether $f\in L^{p}$ or not ; if we know $\hat{f}$

Published on 12 Apr 2026 - 11:36

112

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Is a subspace of functions that essentially depend only on one variable closed?

Published on 13 Apr 2026 - 8:12

219

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Any function in $L^p$ space is a linear combination of simple functions? True OR not?

Published on 13 Apr 2026 - 9:00

211

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Finite meaure space with $f \in L^p$

Published on 11 Apr 2026 - 22:42

36

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Functions belonging to $L^p(\mathbb{R}^n ; \mathbb{R}^m)$ if and only of their norm belongs to $L^p(\mathbb{R}^n)$

Published on 09 Apr 2026 - 11:45

List Question

Hölder's inequality, equality condition

Convergence in $L^2$ norm given inner product converges

Generalization of Minkowski inequality

Show that $L^{\infty}$ space does not have a countable dense set.

Duality (conjugate) function for $f \in L^\infty$

Inequality for $L^p$ spaces

$f \in L^p(\mathbb{R^d})\cap L^r(\mathbb{R^d})$ implies $f\in L^q(\mathbb{R^d})$ where $p<q<r$

Proving a function is L2

How to check some topological concepts in product and direct sum spaces

Showing that a function is L1

Can we determine whether $f\in L^{p}$ or not ; if we know $\hat{f}$

Is a subspace of functions that essentially depend only on one variable closed?

Any function in $L^p$ space is a linear combination of simple functions? True OR not?

Finite meaure space with $f \in L^p$

Functions belonging to $L^p(\mathbb{R}^n ; \mathbb{R}^m)$ if and only of their norm belongs to $L^p(\mathbb{R}^n)$

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