List questions from lp-spaces

Published on 13 Apr 2026 - 17:39

957

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Monotone increasing sequence in Lp convergent a.e.

Published on 14 Apr 2026 - 12:40

130

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Mixed up with hierarchy of $L_p$ spaces

Published on 13 Apr 2026 - 9:13

392

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Proving a trivial bound on $L_2$ norm of the error in a sparse approximation of a vector

Published on 26 Mar 2026 - 2:45

788

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$L^p \subset L^q$ for $p\neq q$.

Published on 17 Apr 2026 - 5:08

400

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Counterexample for $L^p$ Inclusion

Published on 12 Apr 2026 - 12:10

93

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Alternative characterisation of weak derivatives

Published on 13 Apr 2026 - 19:25

713

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Lebesgue Space/Bochner Space interpolation Theorem

Published on 19 Apr 2026 - 14:11

481

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hint on exercise about weak $L^p$ space

Published on 11 Mar 2026 - 8:45

229

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Extending $L^{p}$ Duality to $\sigma$-finite Spaces

Published on 10 Apr 2026 - 9:15

63

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Does $\lim_{p \to \infty}\biggl(\int_0^T \Bigl(\int_\Omega |f|^{\frac{3p}{1+2p}}\Bigr)^{\!\frac{1+2p}{3}}\biggr)^{\!\frac 1p} < \infty$ exist?

Published on 16 Apr 2026 - 14:05

224

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Nonlinear elliptic PDE - passing to the limit

Published on 13 Apr 2026 - 21:15

31

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About a sequence of functions that converges locally but not globally

Published on 11 Apr 2026 - 9:25

1.4k

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Rudin's RCA Q3.4

Published on 15 Apr 2026 - 9:55

176

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$L^2$ and $L^\infty$ normed inequality for PDE solution: Which one is more informative and why?

Published on 13 Apr 2026 - 18:28

List Question

Does the convergence of integrals against $H^1_0$ functions imply boundedness in $L^2(\Omega)$?

Monotone increasing sequence in Lp convergent a.e.

Mixed up with hierarchy of $L_p$ spaces

Proving a trivial bound on $L_2$ norm of the error in a sparse approximation of a vector

$L^p \subset L^q$ for $p\neq q$.

Counterexample for $L^p$ Inclusion

Alternative characterisation of weak derivatives

Lebesgue Space/Bochner Space interpolation Theorem

hint on exercise about weak $L^p$ space

Extending $L^{p}$ Duality to $\sigma$-finite Spaces

Does $\lim_{p \to \infty}\biggl(\int_0^T \Bigl(\int_\Omega |f|^{\frac{3p}{1+2p}}\Bigr)^{\!\frac{1+2p}{3}}\biggr)^{\!\frac 1p} < \infty$ exist?

Nonlinear elliptic PDE - passing to the limit

About a sequence of functions that converges locally but not globally

Rudin's RCA Q3.4

$L^2$ and $L^\infty$ normed inequality for PDE solution: Which one is more informative and why?

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