List questions from lp-spaces

Published on 13 Apr 2018 - 19:34

190

Views

Question concerning Integral operators

Published on 14 Apr 2018 - 6:58

610

Views

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

Published on 16 Apr 2018 - 21:23

359

Views

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

Published on 16 Apr 2018 - 22:19

285

Views

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

Published on 17 Mar 2026 - 11:47

36

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

Published on 19 Apr 2018 - 13:55

1.3k

Views

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

Published on 25 Mar 2026 - 5:10

75

Views

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 21 Apr 2018 - 11:24

85

Views

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

Published on 21 Apr 2018 - 18:12

135

Views

Weak and strong product convergence exercise

Published on 21 Apr 2018 - 21:33

88

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

Published on 23 Apr 2018 - 15:04

32

Views

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

Published on 26 Apr 2018 - 21:54

252

Views

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

Published on 29 Apr 2018 - 16:41

213

Views

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

Published on 24 Mar 2026 - 22:12

360

Views

$L^p$ convergence of composition

Published on 30 Apr 2018 - 8:33

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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