List questions from lp-spaces

Published on 31 Mar 2026 - 21:12

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$L^p$ closed in $L^1$

Published on 23 May 2014 - 22:02

655

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An inequality of $L^p$ norms of linear combinations of characteristic functions of balls

Published on 24 May 2014 - 5:06

275

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Exercise on L^p spaces

Published on 30 Mar 2026 - 17:52

52

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If I know $\langle g(f), a_i \rangle$ for all $i$ where $a_i$ is a basis, do I know the coefficients of $f$?

Published on 25 May 2014 - 16:00

182

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can $L^p$ norm convergence and pointwise monotonic imply pointwise convergence?

Published on 26 May 2014 - 13:49

561

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What is $L^p$-convergence useful for?

Published on 26 May 2014 - 14:58

123

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questions about $L^p$ space with $0<p\leq 1$ parallel to the case $1<p$

Published on 27 May 2014 - 3:22

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Projection onto finite-dimensional subspace of $L^p$

Published on 30 Mar 2026 - 17:56

76

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Convergence of product of continuous functions and test functions

Published on 01 Jun 2014 - 19:33

900

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How can I show that $L^{1}([0,1])$ is a separable metric space?

Published on 25 Mar 2026 - 19:04

166

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If $P$ has marginals $P_1, P_2$, is $L^1(P_1) + L^1(P_2)$ closed in $L^1(P)$?

Published on 03 Jun 2014 - 14:08

461

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Prove that a relatively compact subset of $L^p$ is bounded.

Published on 01 Apr 2026 - 0:24

327

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Weak* convergence in $(L^q)^*$ and convergence in $L^p$

Published on 30 Mar 2026 - 4:56

394

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Dual of $L^1$ when measure is the counting measure

Published on 04 Jun 2014 - 7:21

List Question

Application of weak $L^p$ estimate besides for proving boundedness of some linear operator

$L^p$ closed in $L^1$

An inequality of $L^p$ norms of linear combinations of characteristic functions of balls

Exercise on L^p spaces

If I know $\langle g(f), a_i \rangle$ for all $i$ where $a_i$ is a basis, do I know the coefficients of $f$?

can $L^p$ norm convergence and pointwise monotonic imply pointwise convergence?

What is $L^p$-convergence useful for?

questions about $L^p$ space with $0<p\leq 1$ parallel to the case $1<p$

Projection onto finite-dimensional subspace of $L^p$

Convergence of product of continuous functions and test functions

How can I show that $L^{1}([0,1])$ is a separable metric space?

If $P$ has marginals $P_1, P_2$, is $L^1(P_1) + L^1(P_2)$ closed in $L^1(P)$?

Prove that a relatively compact subset of $L^p$ is bounded.

Weak* convergence in $(L^q)^*$ and convergence in $L^p$

Dual of $L^1$ when measure is the counting measure

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