Question

Under what conditions can $L^p(X,\sigma,\mu)$ be an inner product space for $p\neq 2$?

score 248 · Answer 1 · 2020-04-27 18:57:20

248

Views

Under what conditions can $L^p(X,\sigma,\mu)$ be an inner product space for $p\neq 2$?

Published on 27 Apr 2020 - 18:57

score 187 · Answer 2 · 2026-03-30 06:22:05

187

Views

Are integrals in Riemann-Lebesgue theorem Riemann or Lebesgue

Published on 30 Mar 2026 - 6:22

score 664 · Answer 3 · 2020-04-27 21:06:47

664

Views

Lebesgue integral of f(x) over R is equal to Lebesgue integral of f(x+t) over R

Published on 27 Apr 2020 - 21:06

score 47 · Answer 4 · 2026-03-25 07:42:31

47

Views

I have a question on Lebesgue Iterated Integrals

Published on 25 Mar 2026 - 7:42

score 160 · Answer 5 · 2020-04-28 09:01:11

160

Views

Lebesgue Integral Computation Involving Infimum

Published on 28 Apr 2020 - 9:01

score 985 · Answer 6 · 2020-04-28 09:36:33

985

Views

Do smooth and $L^1$ functions vanish at infinity?

Published on 28 Apr 2020 - 9:36

score 40 · Answer 7 · 2020-04-29 00:41:47

40

Views

If $f_n \to f$ uniformly where $f_n$ are continuous then $\int_{0}^{1-\frac{1}{n}}f_n \to \int_{0}^{1}f$

Published on 29 Apr 2020 - 0:41

score 95 · Answer 8 · 2026-03-28 06:09:48

95

Views

I have a question on Lebesgue Iterated Integrals with the Counting Measure

Published on 28 Mar 2026 - 6:09

score 51 · Answer 9 · 2020-04-29 04:12:56

51

Views

Prove $\Lambda(f)=\int_{0}^{1}\frac{f(t)}{\sqrt{|x-t|}}dt$ is bounded operator from $L^2[0,1]$ to $L^2[0,1]$

Published on 29 Apr 2020 - 4:12

score 31 · Answer 10 · 2020-04-29 04:53:46

31

Views

Let $f \in L^1(X)$ where $\mu(X)<\infty$ then $g(t)=\int_X\cos(tf(x))dx$ is in $C^1(\mathbb{R})$

Published on 29 Apr 2020 - 4:53

score 60 · Answer 11 · 2020-04-29 14:49:00

60

Views

Condition on a function to be in $L^{p}(R^{d})$ space

Published on 29 Apr 2020 - 14:49

score 52 · Answer 12 · 2020-04-29 18:12:19

52

Views

Prove: $B(x,y)$ Lebesgue integrable on $\mathbb{R}^2$

Published on 29 Apr 2020 - 18:12

score 162 · Answer 13 · 2020-04-29 20:33:07

162

Views

Choice of simple functions to define the general Lebesgue Integral

Published on 29 Apr 2020 - 20:33

score 193 · Answer 14 · 2020-04-29 21:26:15

193

Views

Find $\lim_{k \to \infty}\int_{0}^{\infty}ke^{-kx^2}\arctan(x)dx$

Published on 29 Apr 2020 - 21:26

score 22 · Answer 15 · 2020-04-30 01:52:12

22

Views

Let $g \in C^1[0,\infty)$ and assume $g'$ is bounded and $g(0)=0$. Find $\lim_{n \to \infty}\int_{0}^{\infty}\frac{g(x/n)}{x}e^{-x}$

Published on 30 Apr 2020 - 1:52

List Question

Under what conditions can $L^p(X,\sigma,\mu)$ be an inner product space for $p\neq 2$?

Are integrals in Riemann-Lebesgue theorem Riemann or Lebesgue

Lebesgue integral of f(x) over R is equal to Lebesgue integral of f(x+t) over R

I have a question on Lebesgue Iterated Integrals

Lebesgue Integral Computation Involving Infimum

Do smooth and $L^1$ functions vanish at infinity?

If $f_n \to f$ uniformly where $f_n$ are continuous then $\int_{0}^{1-\frac{1}{n}}f_n \to \int_{0}^{1}f$

I have a question on Lebesgue Iterated Integrals with the Counting Measure

Prove $\Lambda(f)=\int_{0}^{1}\frac{f(t)}{\sqrt{|x-t|}}dt$ is bounded operator from $L^2[0,1]$ to $L^2[0,1]$

Let $f \in L^1(X)$ where $\mu(X)<\infty$ then $g(t)=\int_X\cos(tf(x))dx$ is in $C^1(\mathbb{R})$

Condition on a function to be in $L^{p}(R^{d})$ space

Prove: $B(x,y)$ Lebesgue integrable on $\mathbb{R}^2$

Choice of simple functions to define the general Lebesgue Integral

Find $\lim_{k \to \infty}\int_{0}^{\infty}ke^{-kx^2}\arctan(x)dx$

Let $g \in C^1[0,\infty)$ and assume $g'$ is bounded and $g(0)=0$. Find $\lim_{n \to \infty}\int_{0}^{\infty}\frac{g(x/n)}{x}e^{-x}$

Trending Questions

Popular # Hahtags

Popular Questions