Question

Given that $f \in L^{p_0} \cap L^{\infty}$ show $f \in L^p$ for all $p_0 \leq p \leq \infty$

score 96 · Answer 1 · 2026-04-17 04:03:31

96

Views

Given that $f \in L^{p_0} \cap L^{\infty}$ show $f \in L^p$ for all $p_0 \leq p \leq \infty$

Published on 17 Apr 2026 - 4:03

score 193 · Answer 2 · 2026-04-14 19:38:33

193

Views

Is the tensor product $L^\infty(X)\times L^\infty(Y)$ dense in $L^\infty(X\times Y)$?

Published on 14 Apr 2026 - 19:38

score 1.7k · Answer 3 · 2026-04-15 12:37:06

1.7k

Views

L^p convergence => a.e. convergence?

Published on 15 Apr 2026 - 12:37

score 2.3k · Answer 4 · 2026-04-14 03:15:37

2.3k

Views

Convergence of a sequence in two different $L_p$ spaces

Published on 14 Apr 2026 - 3:15

score 194 · Answer 5 · 2026-04-13 19:28:37

194

Views

Let $f \in L^1[0,1]$, can we approximate $f$ by a polynomial, in sup norm?

Published on 13 Apr 2026 - 19:28

score 773 · Answer 6 · 2026-04-13 21:44:35

773

Views

$l^\infty(I)$ and $l^\infty(J)$ isometrically isomorphic with $|I| \not= |J|.$

Published on 13 Apr 2026 - 21:44

score 313 · Answer 7 · 2026-04-09 12:10:39

313

Views

Norm of multiplication operator

Published on 09 Apr 2026 - 12:10

score 270 · Answer 8 · 2026-04-25 07:25:41

270

Views

Integral convergence involving Lp and Sobolev spaces

Published on 25 Apr 2026 - 7:25

score 9.6k · Answer 9 · 2026-04-15 02:01:03

9.6k

Views

Dual space of $l^1$

Published on 15 Apr 2026 - 2:01

score 277 · Answer 10 · 2026-04-14 12:35:04

277

Views

Why does it suffice to prove the L_p-Hardy Inequality for smooth compactly supported functions?

Published on 14 Apr 2026 - 12:35

score 744 · Answer 11 · 2026-04-25 05:55:06

744

Views

Gradient on Sobolev spaces

Published on 25 Apr 2026 - 5:55

score 149 · Answer 12 · 2026-04-16 13:20:17

149

Views

Is it true $({\Bbb E|X|^p})^{\frac{1}{p}} \leq ({\Bbb E|X|^q})^{\frac{1}{q}}$, if $p \leq q$?

Published on 16 Apr 2026 - 13:20

score 60 · Answer 13 · 2026-04-14 20:27:47

60

Views

Criteria for a parameter-dependent integral to be squared integrable

Published on 14 Apr 2026 - 20:27

score 3.4k · Answer 14 · 2026-04-14 19:59:12

3.4k

Views

$\ell^{\infty}(\mathbb N)$ is not a separable space

Published on 14 Apr 2026 - 19:59

score 392 · Answer 15 · 2026-04-25 08:57:12

392

Views

Is there any Banach space $X$ that $L^2(\Omega)$ is compactly embedded into?

Published on 25 Apr 2026 - 8:57

List Question

Given that $f \in L^{p_0} \cap L^{\infty}$ show $f \in L^p$ for all $p_0 \leq p \leq \infty$

Is the tensor product $L^\infty(X)\times L^\infty(Y)$ dense in $L^\infty(X\times Y)$?

L^p convergence => a.e. convergence?

Convergence of a sequence in two different $L_p$ spaces

Let $f \in L^1[0,1]$, can we approximate $f$ by a polynomial, in sup norm?

$l^\infty(I)$ and $l^\infty(J)$ isometrically isomorphic with $|I| \not= |J|.$

Norm of multiplication operator

Integral convergence involving Lp and Sobolev spaces

Dual space of $l^1$

Why does it suffice to prove the L_p-Hardy Inequality for smooth compactly supported functions?

Gradient on Sobolev spaces

Is it true $({\Bbb E|X|^p})^{\frac{1}{p}} \leq ({\Bbb E|X|^q})^{\frac{1}{q}}$, if $p \leq q$?

Criteria for a parameter-dependent integral to be squared integrable

$\ell^{\infty}(\mathbb N)$ is not a separable space

Is there any Banach space $X$ that $L^2(\Omega)$ is compactly embedded into?

Trending Questions

Popular # Hahtags

Popular Questions