List questions from lp-spaces

Published on 16 Jan 2020 - 11:10

26

Views

Invalid problem to show $\mathcal{C}^0([0,1])$ is not complete with respect to the $L^1$-Norm

Published on 26 Mar 2026 - 11:05

185

Views

Bochner Space "basic properties" (Reference Request)

Published on 26 Mar 2026 - 6:17

55

Views

How I can prove that $T$ is well defined and continuous such that we have :$\|T\|\leq \|g\|_q,$ $T(f)=\int_\Omega f\overline{g}\,d\mu$?

Published on 04 Apr 2026 - 4:40

32

Views

What does $m(I)$ stand for in the following proof?

Published on 19 Jan 2020 - 19:12

347

Views

Unit balls in Lp spaces

Published on 19 Jan 2020 - 19:12

56

Views

Functions which are $L^p$ but not $L^{p+1}$ for arbitrary $p$.

Published on 20 Jan 2020 - 17:46

333

Views

Radial Sobolev embedding

Published on 27 Mar 2026 - 6:18

634

Views

Continuous functions with compact support are dense in $L^1$ (Hypotheses)

Published on 04 Apr 2026 - 4:36

20

Views

estimative of the norm times p

Published on 27 Mar 2026 - 1:57

63

Views

Showing bound for operator norm on $\mathcal{L}(L^p)$

Published on 23 Jan 2020 - 12:51

257

Views

$L^p$ norm inequality between random variable and conditional expectation (hypercontractivity)

Published on 01 Apr 2026 - 20:09

112

Views

Definition of $\mathscr{L}^p$ space: is the 1/p-th power necessary

Published on 27 Jan 2020 - 16:53

90

Views

how do the Lp spaces sit inside Teichmüller space?

Published on 23 Feb 2026 - 2:37

55

Views

Relation between weak limits

Published on 26 Mar 2026 - 6:17

List Question

Minkowski for series

Invalid problem to show $\mathcal{C}^0([0,1])$ is not complete with respect to the $L^1$-Norm

Bochner Space "basic properties" (Reference Request)

How I can prove that $T$ is well defined and continuous such that we have :$\|T\|\leq \|g\|_q,$ $T(f)=\int_\Omega f\overline{g}\,d\mu$?

What does $m(I)$ stand for in the following proof?

Unit balls in Lp spaces

Functions which are $L^p$ but not $L^{p+1}$ for arbitrary $p$.

Radial Sobolev embedding

Continuous functions with compact support are dense in $L^1$ (Hypotheses)

estimative of the norm times p

Showing bound for operator norm on $\mathcal{L}(L^p)$

$L^p$ norm inequality between random variable and conditional expectation (hypercontractivity)

Definition of $\mathscr{L}^p$ space: is the 1/p-th power necessary

how do the Lp spaces sit inside Teichmüller space?

Relation between weak limits

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