List questions from lp-spaces

Published on 13 Apr 2026 - 19:53

528

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Regularizing a solenoidal vector field $u\in L^p(\Omega)^N$.

Published on 15 Apr 2026 - 17:30

9.8k

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What will be the support of the convolution of two test functions.

Published on 11 Apr 2026 - 16:11

78

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Regularizing a $L^p(B)$ function in $B$ and in $\partial B$.

Published on 14 Apr 2026 - 14:54

909

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Gauss–Ostrogradsky formula for Distributions

Published on 14 Apr 2026 - 14:51

204

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Show $\|f\|_p\leq \lim\inf\|f_n\|$

Published on 17 Apr 2026 - 4:40

179

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convergence in measure does not imply weak convergence

Published on 09 Apr 2026 - 23:55

1.9k

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Embedded Lp spaces

Published on 08 Apr 2026 - 13:08

1.6k

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Example of a continuous function which is bounded and not contained in any $L_p$-space ($p\gt 0$)

Published on 15 Apr 2026 - 4:10

18.9k

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When exactly is the dual of $L^1$ isomorphic to $L^\infty$ via the natural map?

Published on 14 Apr 2026 - 17:58

3k

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Inclusion of $L^p$ spaces, bounded or unbounded

Published on 15 Apr 2026 - 10:06

1.3k

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A question on gauge norm on Orlicz space

Published on 10 Apr 2026 - 18:13

113

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Equality of expressions containing supremum of some double sums

Published on 13 Apr 2026 - 19:03

1.6k

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$L^p$ integrable but not $L^q$ integrable

Published on 15 Apr 2026 - 6:42

88

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Proving an inequality about an $L^2$ function

Published on 13 Apr 2026 - 3:22

List Question

Does $u\in L^p(B)$ implies $u_{|\partial B_t}\in L^p(\partial B_t)$ for almost $t\in (0,1]$?

Regularizing a solenoidal vector field $u\in L^p(\Omega)^N$.

What will be the support of the convolution of two test functions.

Regularizing a $L^p(B)$ function in $B$ and in $\partial B$.

Gauss–Ostrogradsky formula for Distributions

Show $\|f\|_p\leq \lim\inf\|f_n\|$

convergence in measure does not imply weak convergence

Embedded Lp spaces

Example of a continuous function which is bounded and not contained in any $L_p$-space ($p\gt 0$)

When exactly is the dual of $L^1$ isomorphic to $L^\infty$ via the natural map?

Inclusion of $L^p$ spaces, bounded or unbounded

A question on gauge norm on Orlicz space

Equality of expressions containing supremum of some double sums

$L^p$ integrable but not $L^q$ integrable

Proving an inequality about an $L^2$ function

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