Question

Factoring Variable in $L^2$

score 23 · Answer 1 · 2026-03-25 05:59:13

23

Views

Factoring Variable in $L^2$

Published on 25 Mar 2026 - 5:59

score 269 · Answer 2 · 2026-03-28 13:40:13

269

Views

Is every complex Banach space with Schur's property hereditarily $l^1$?

Published on 28 Mar 2026 - 13:40

score 486 · Answer 3 · 2026-03-28 16:12:53

486

Views

Using Banach-Alaoglu theorem on $L^1$

Published on 28 Mar 2026 - 16:12

score 72 · Answer 4 · 2026-03-25 15:51:03

72

Views

Given a sequence of Lp functions, does the integral commute with the lp norm?

Published on 25 Mar 2026 - 15:51

score 148 · Answer 5 · 2026-03-29 10:49:01

148

Views

Prove that if $f\in L^{p}(E), 1\leq p<\infty, m(E)<\infty$, then $f\in L^{q}(E)$ for all $1\leq q\leq p$

Published on 29 Mar 2026 - 10:49

score 168 · Answer 6 · 2026-03-29 11:02:37

168

Views

Proving that $L^{p}(\mathbb{R}^d)\not\subset L^{\infty}(\mathbb{R}^d)$ for $1\leq p<\infty.$

Published on 29 Mar 2026 - 11:02

score 29 · Answer 7 · 2026-03-29 10:48:59

29

Views

If $d_f (t) : (0, \infty) \rightarrow [0,\infty]$ prove $d_f (t) \leq \bigg( \frac{||{f}||_{L^p(X)}}{t} \bigg)^p.$

Published on 29 Mar 2026 - 10:48

score 57 · Answer 8 · 2026-03-25 15:49:44

57

Views

Correct Formulation of a map between two measurable spaces

Published on 25 Mar 2026 - 15:49

score 60 · Answer 9 · 2026-03-29 10:48:54

60

Views

If $\|f_n\|_{p}\leq n^{-2}, f_n\in L^{p},\forall n\in\mathbb{N}$, does pointwise convergence of $f_n$ follow for a.e. $x\in\mathbb{R}$?

Published on 29 Mar 2026 - 10:48

score 55 · Answer 10 · 2026-03-29 10:48:55

55

Views

If $1<p<\infty, p^{-1}+q^{-1}=1,f\in L^{1}(\mathbb{R}^d),$ then there are $g\in L^{p}(\mathbb{R}^d)$ and $h\in L^{q}(\mathbb{R}^d)$ such that $f=gh.$

Published on 29 Mar 2026 - 10:48

score 196 · Answer 11 · 2019-03-12 11:31:34

196

Views

Inverse of a positive $L^{1}$ function on a probability space

Published on 12 Mar 2019 - 11:31

score 21 · Answer 12 · 2026-03-29 10:47:44

21

Views

Proving $g_a\in L^1(\mathbb{R}^d) \iff a<-d$

Published on 29 Mar 2026 - 10:47

score 92 · Answer 13 · 2026-03-28 20:14:31

92

Views

Condition on Uniform Convergence of Fourier Series

Published on 28 Mar 2026 - 20:14

score 169 · Answer 14 · 2026-03-29 06:29:13

169

Views

Convergence of Indicator function in weak*-topology

Published on 29 Mar 2026 - 6:29

score 33 · Answer 15 · 2019-03-14 10:40:52

33

Views

Express $|x|^{-p},\;x\in\mathbb{R^+},\;0.5<p<1$ as sum of $L^1(\mathbb{R^+}) + L^2(\mathbb{R^+})$ function

Published on 14 Mar 2019 - 10:40

List Question

Factoring Variable in $L^2$

Is every complex Banach space with Schur's property hereditarily $l^1$?

Using Banach-Alaoglu theorem on $L^1$

Given a sequence of Lp functions, does the integral commute with the lp norm?

Prove that if $f\in L^{p}(E), 1\leq p<\infty, m(E)<\infty$, then $f\in L^{q}(E)$ for all $1\leq q\leq p$

Proving that $L^{p}(\mathbb{R}^d)\not\subset L^{\infty}(\mathbb{R}^d)$ for $1\leq p<\infty.$

If $d_f (t) : (0, \infty) \rightarrow [0,\infty]$ prove $d_f (t) \leq \bigg( \frac{||{f}||_{L^p(X)}}{t} \bigg)^p.$

Correct Formulation of a map between two measurable spaces

If $\|f_n\|_{p}\leq n^{-2}, f_n\in L^{p},\forall n\in\mathbb{N}$, does pointwise convergence of $f_n$ follow for a.e. $x\in\mathbb{R}$?

If $1<p<\infty, p^{-1}+q^{-1}=1,f\in L^{1}(\mathbb{R}^d),$ then there are $g\in L^{p}(\mathbb{R}^d)$ and $h\in L^{q}(\mathbb{R}^d)$ such that $f=gh.$

Inverse of a positive $L^{1}$ function on a probability space

Proving $g_a\in L^1(\mathbb{R}^d) \iff a<-d$

Condition on Uniform Convergence of Fourier Series

Convergence of Indicator function in weak*-topology

Express $|x|^{-p},\;x\in\mathbb{R^+},\;0.5<p<1$ as sum of $L^1(\mathbb{R^+}) + L^2(\mathbb{R^+})$ function

Trending Questions

Popular # Hahtags

Popular Questions