List questions from lp-spaces

Published on 28 Oct 2018 - 4:22

30

Views

If $E$ is finite-dimensional and $\mu$ finite show that $\mathcal S(X,\mu,E)$ is dense in $\mathcal L_\infty(X,\mu,E)$

Published on 28 Oct 2018 - 8:58

47

Views

If $f \in L^1(\mathbb{R})$, does $\lim_{s \rightarrow \infty}\int |f(x-s) - f(x)| dm$ exist?

Published on 28 Oct 2018 - 16:38

320

Views

Ambiguous definition of a sequence in $l^2$

Published on 29 Oct 2018 - 19:26

53

Views

Is $\int_0^1 \int_0^1 \frac{|f(x,y)|^2} {|f(x,y)|^2 + |f(x-(1/2),y )|^2} dx dy$ independent of $f$?

Published on 30 Oct 2018 - 18:38

621

Views

On almost sure convergence of sequence of random variables $\{X_n\}$ such that $\forall p>0, E(|X_n-X|^p)\to 0$ as $n\to \infty$

Published on 26 Mar 2026 - 19:01

991

Views

Examples of sequences in lp spaces

Published on 01 Nov 2018 - 12:01

134

Views

$L_p$ Norms and Holder's Inequality question

Published on 25 Mar 2026 - 3:20

90

Views

$\|\cdot \|_p$ is not equivalent to $\|\cdot \|_q$ in $l^p$

Published on 04 Nov 2018 - 0:44

219

Views

Approximation of compactly supported continuous functions that conserve the integral value

Published on 04 Nov 2018 - 3:15

81

Views

Limit in $L^{1}(\mathbb{R})$

Published on 27 Mar 2026 - 15:05

333

Views

Given Limit is the Essential Supremum

Published on 27 Mar 2026 - 14:58

41

Views

Show $\lim\limits_{h\to0} \sup_{y\in B_h(0)} \int_{A_h} |f(x+y)-f(x)|^pdx=0$

Published on 04 Nov 2018 - 21:39

72

Views

Sum of Integrals and $L^{p}$ Spaces

Published on 27 Mar 2026 - 15:07

69

Views

Is the Norm of the $L^{2}$ Function Equal to the Given Limit?

Published on 27 Mar 2026 - 15:07

List Question

Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$

If $E$ is finite-dimensional and $\mu$ finite show that $\mathcal S(X,\mu,E)$ is dense in $\mathcal L_\infty(X,\mu,E)$

If $f \in L^1(\mathbb{R})$, does $\lim_{s \rightarrow \infty}\int |f(x-s) - f(x)| dm$ exist?

Ambiguous definition of a sequence in $l^2$

Is $\int_0^1 \int_0^1 \frac{|f(x,y)|^2} {|f(x,y)|^2 + |f(x-(1/2),y )|^2} dx dy$ independent of $f$?

On almost sure convergence of sequence of random variables $\{X_n\}$ such that $\forall p>0, E(|X_n-X|^p)\to 0$ as $n\to \infty$

Examples of sequences in lp spaces

$L_p$ Norms and Holder's Inequality question

$\|\cdot \|_p$ is not equivalent to $\|\cdot \|_q$ in $l^p$

Approximation of compactly supported continuous functions that conserve the integral value

Limit in $L^{1}(\mathbb{R})$

Given Limit is the Essential Supremum

Show $\lim\limits_{h\to0} \sup_{y\in B_h(0)} \int_{A_h} |f(x+y)-f(x)|^pdx=0$

Sum of Integrals and $L^{p}$ Spaces

Is the Norm of the $L^{2}$ Function Equal to the Given Limit?

Trending Questions

Popular # Hahtags

Popular Questions