List questions from lp-spaces

Published on 14 Apr 2026 - 20:40

195

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Question concerning Integral operators

Published on 17 Apr 2026 - 14:41

613

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Convergence in $L^{p}$ of random variable.

Published on 11 Apr 2026 - 23:41

362

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Compute $L^\infty$-norm of difference of characteristic functions

Published on 13 Apr 2026 - 20:20

291

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$L^p$ norm of Littlewood-Paley block of a smooth function

Published on 29 Apr 2026 - 12:57

39

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Doubt about definition of convergence in $L^p$.

Published on 08 Apr 2026 - 21:06

1.3k

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Space of $L^p$ functions not in $L^q$ for all $q\neq p$

Published on 29 Apr 2026 - 12:09

77

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If $\|f\|_3 = \|g\|_3 = \int_E f^2 g =1,$ prove that $g(x) = |f(x)|$ for almost all $x \in E.$

Published on 17 Apr 2026 - 6:49

91

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Integral with parameters, limit permutation and weak convergence in $L^2$

Published on 10 May 2026 - 16:10

139

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Weak and strong product convergence exercise

Published on 10 May 2026 - 16:09

91

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Is $( L_p[a,b], d_p )$ is a metric space?

Published on 16 Apr 2026 - 4:45

35

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$f(x,y)\in \mathcal{F}L^1 \implies f(x+y, x-y)\in \mathcal{F}L^1$

Published on 14 Apr 2026 - 21:26

255

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Show that $g\in L^q(E)$ and $\|g\|_q\leq M.$

Published on 17 Apr 2026 - 2:55

219

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Integral of Function in $L^p(E)$ Times Functions in Dense Set Being $0$ Implies Function is $0$

Published on 10 May 2026 - 13:24

363

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$L^p$ convergence of composition

Published on 12 Apr 2026 - 12:50

List Question

Weak convergence in $L^1$ of $\sin(2\pi n x)$

Question concerning Integral operators

Convergence in $L^{p}$ of random variable.

Compute $L^\infty$-norm of difference of characteristic functions

$L^p$ norm of Littlewood-Paley block of a smooth function

Doubt about definition of convergence in $L^p$.

Space of $L^p$ functions not in $L^q$ for all $q\neq p$

If $\|f\|_3 = \|g\|_3 = \int_E f^2 g =1,$ prove that $g(x) = |f(x)|$ for almost all $x \in E.$

Integral with parameters, limit permutation and weak convergence in $L^2$

Weak and strong product convergence exercise

Is $( L_p[a,b], d_p )$ is a metric space?

$f(x,y)\in \mathcal{F}L^1 \implies f(x+y, x-y)\in \mathcal{F}L^1$

Show that $g\in L^q(E)$ and $\|g\|_q\leq M.$

Integral of Function in $L^p(E)$ Times Functions in Dense Set Being $0$ Implies Function is $0$

$L^p$ convergence of composition

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