Question

$\lim\limits_{t\to\infty} \min\{t,f\} = f$, for $f\geq 0$.

score 47 · Answer 1 · 2019-03-06 21:54:57

47

Views

$\lim\limits_{t\to\infty} \min\{t,f\} = f$, for $f\geq 0$.

Published on 06 Mar 2019 - 21:54

score 27 · Answer 2 · 2019-03-07 14:55:34

27

Views

Square integrability of $ \exp \{-\int t(1-\hat{f}(s/(At)^{\beta})) \} dt$

Published on 07 Mar 2019 - 14:55

score 179 · Answer 3 · 2019-03-07 23:30:02

179

Views

Prove that $\inf \left\{ \int_E f d\mu : \mu (E) \geq \alpha\right\} > 0$

Published on 07 Mar 2019 - 23:30

score 147 · Answer 4 · 2019-03-08 01:11:42

147

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 08 Mar 2019 - 1:11

score 314 · Answer 5 · 2019-03-08 09:09:35

314

Views

notation - what does this $\wedge$ inside the integral mean?

Published on 08 Mar 2019 - 9:09

score 167 · Answer 6 · 2019-03-08 10:04:18

167

Views

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

Published on 08 Mar 2019 - 10:04

score 321 · Answer 7 · 2019-03-08 10:29:50

321

Views

Gagliardo–Nirenberg–Sobolev inequality for weighted Sobolev space with exponential weights

Published on 08 Mar 2019 - 10:29

score 70 · Answer 8 · 2019-03-08 12:33:37

70

Views

Prove $\int \bigg(\sum_{n=1}^{\infty} f_n \bigg) d \mu = \sum_{n=1}^{\infty} \bigg( \int f_n d \mu \bigg) $

Published on 08 Mar 2019 - 12:33

score 28 · Answer 9 · 2019-03-08 14:50:35

28

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 08 Mar 2019 - 14:50

score 210 · Answer 10 · 2019-03-10 03:37:37

210

Views

If $f:\mathbb{R} \to [0,\infty)$ is Lebesgue measurable and $\int_{(n,n+1]}f dm = 0$ for all $n \in \mathbb{Z}$, then $\int_E fdm =0$ for all $E$.

Published on 10 Mar 2019 - 3:37

score 87 · Answer 11 · 2019-03-10 13:50:45

87

Views

Rectifiable curves in $\mathbb{R}^n$ have measure $0$, but line integral is nonzero.

Published on 10 Mar 2019 - 13:50

score 338 · Answer 12 · 2019-03-10 18:04:35

338

Views

Pull Limes out of integral

Published on 10 Mar 2019 - 18:04

score 59 · Answer 13 · 2019-03-11 06:26:55

59

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 11 Mar 2019 - 6:26

score 47 · Answer 14 · 2026-03-26 09:40:00

47

Views

Riemann-Stieltjes Integration-IVT

Published on 26 Mar 2026 - 9:40

score 54 · Answer 15 · 2019-03-12 05:49:14

54

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 12 Mar 2019 - 5:49

List Question

$\lim\limits_{t\to\infty} \min\{t,f\} = f$, for $f\geq 0$.

Square integrability of $ \exp \{-\int t(1-\hat{f}(s/(At)^{\beta})) \} dt$

Prove that $\inf \left\{ \int_E f d\mu : \mu (E) \geq \alpha\right\} > 0$

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

notation - what does this $\wedge$ inside the integral mean?

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

Gagliardo–Nirenberg–Sobolev inequality for weighted Sobolev space with exponential weights

Prove $\int \bigg(\sum_{n=1}^{\infty} f_n \bigg) d \mu = \sum_{n=1}^{\infty} \bigg( \int f_n d \mu \bigg) $

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

If $f:\mathbb{R} \to [0,\infty)$ is Lebesgue measurable and $\int_{(n,n+1]}f dm = 0$ for all $n \in \mathbb{Z}$, then $\int_E fdm =0$ for all $E$.

Rectifiable curves in $\mathbb{R}^n$ have measure $0$, but line integral is nonzero.

Pull Limes out of integral

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. $x\in\mathbb{R}$?

Riemann-Stieltjes Integration-IVT

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 $f=gh.$

Trending Questions

Popular # Hahtags

Popular Questions