Question

Counterexample in real interpolation

score 45 · Answer 1 · 2026-03-27 03:57:36

45

Views

Counterexample in real interpolation

Published on 27 Mar 2026 - 3:57

score 108 · Answer 2 · 2018-09-07 17:32:41

108

Views

$\int_{\mathbb R} \frac{1}{(1+ |t-y|)^r} \|f(y)\|_{L^1} dy \leq \frac{C}{r-1} \|f\|_{C(\mathbb R, L^1(\mathbb R))}$ for some $r>0$?

Published on 07 Sep 2018 - 17:32

score 204 · Answer 3 · 2018-09-08 13:13:00

204

Views

Riesz Representation Theorem: what is meant by extension by continuity

Published on 08 Sep 2018 - 13:13

score 60 · Answer 4 · 2018-09-08 17:02:28

60

Views

If $f^3_n\to f^3$ in $L^2(0,\pi)$ then $f_n\to f$ in $L^6(0,\pi)$?

Published on 08 Sep 2018 - 17:02

score 73 · Answer 5 · 2018-09-10 10:41:08

73

Views

Exercise on $L^p([0,1])$

Published on 10 Sep 2018 - 10:41

score 135 · Answer 6 · 2018-09-11 10:05:15

135

Views

Proving integrability given local Lp integrability

Published on 11 Sep 2018 - 10:05

score 169 · Answer 7 · 2026-03-27 06:51:21

169

Views

Simple Question Regarding Isomorphic Banach Spaces

Published on 27 Mar 2026 - 6:51

score 1.2k · Answer 8 · 2026-03-25 12:49:58

1.2k

Views

$T: L^2[0,1] \to L^2[0,1]$, $Tf(x)= \frac{1}{x}\int_{0}^x f(y)$, is a bounded but not compact operator.

Published on 25 Mar 2026 - 12:49

score 222 · Answer 9 · 2026-03-27 01:53:22

222

Views

Is $C_0(\mathbb{R}^n)$ dense in $L^p(A)$ when $A\subset \mathbb{R}^n$ is measurable and $1\leq p \leq \infty$?

Published on 27 Mar 2026 - 1:53

score 50 · Answer 10 · 2018-09-19 18:24:29

50

Views

Show that $\lim\limits_{i\to \infty} P_k (x^{(i)} )$ exists but $\lim\limits_{i\to \infty} x^{(i)} $ does not

Published on 19 Sep 2018 - 18:24

score 136 · Answer 11 · 2018-09-19 21:25:17

136

Views

$\lim_{q\to 0_{+}} \|f\|_q = \exp(\int_X \log |f| \, d\mu$)

Published on 19 Sep 2018 - 21:25

score 228 · Answer 12 · 2026-03-26 01:10:41

228

Views

Counterexample for the $L^p$ Ergodic Theorem of Von Neumann when $p=\infty$

Published on 26 Mar 2026 - 1:10

score 1.2k · Answer 13 · 2026-03-27 00:06:32

1.2k

Views

Show that the following function $f \in L_p$ if and only if $p=2$

Published on 27 Mar 2026 - 0:06

score 187 · Answer 14 · 2018-09-24 18:32:19

187

Views

How to show that $x^{\tfrac{1}{p}}\leq \frac{1}{p}x+\frac{1}{q}$

Published on 24 Sep 2018 - 18:32

score 31 · Answer 15 · 2018-09-24 19:19:49

31

Views

Weird inequality with $l^1$-norm

Published on 24 Sep 2018 - 19:19

List Question

Counterexample in real interpolation

$\int_{\mathbb R} \frac{1}{(1+ |t-y|)^r} \|f(y)\|_{L^1} dy \leq \frac{C}{r-1} \|f\|_{C(\mathbb R, L^1(\mathbb R))}$ for some $r>0$?

Riesz Representation Theorem: what is meant by extension by continuity

If $f^3_n\to f^3$ in $L^2(0,\pi)$ then $f_n\to f$ in $L^6(0,\pi)$?

Exercise on $L^p([0,1])$

Proving integrability given local Lp integrability

Simple Question Regarding Isomorphic Banach Spaces

$T: L^2[0,1] \to L^2[0,1]$, $Tf(x)= \frac{1}{x}\int_{0}^x f(y)$, is a bounded but not compact operator.

Is $C_0(\mathbb{R}^n)$ dense in $L^p(A)$ when $A\subset \mathbb{R}^n$ is measurable and $1\leq p \leq \infty$?

Show that $\lim\limits_{i\to \infty} P_k (x^{(i)} )$ exists but $\lim\limits_{i\to \infty} x^{(i)} $ does not

$\lim_{q\to 0_{+}} \|f\|_q = \exp(\int_X \log |f| \, d\mu$)

Counterexample for the $L^p$ Ergodic Theorem of Von Neumann when $p=\infty$

Show that the following function $f \in L_p$ if and only if $p=2$

How to show that $x^{\tfrac{1}{p}}\leq \frac{1}{p}x+\frac{1}{q}$

Weird inequality with $l^1$-norm

Trending Questions

Popular # Hahtags

Popular Questions