List questions from lp-spaces

Published on 09 Apr 2026 - 19:23

307

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A sequence of functions in $L^1$ that does not converge weakly

Published on 15 Apr 2026 - 11:05

40

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Convergence a.e. but not in $L_{p}$ norm Corollary

Published on 14 May 2026 - 6:18

27

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How to prove the uniqueness criteria of the inner product defined on $L^2$ space

Published on 14 May 2026 - 15:01

223

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Folland theorem 6.19: $p=\infty$

Published on 13 Apr 2026 - 15:08

97

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Sequence of indicator function and $L^p(\mathbb{R}^d)$ convergence

Published on 16 Apr 2026 - 6:36

316

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Show that some function is in $L^p$ space

Published on 12 Apr 2026 - 22:56

109

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Does uniform convergence in $L^1$ imply uniform convergence in $L^2$?

Published on 14 May 2026 - 6:18

68

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Question about functions in $L^2$ space

Published on 14 Apr 2026 - 18:26

202

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Does Mollification Convergence in Lp still hold for Sequences?

Published on 09 Apr 2026 - 18:28

61

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Weak- L^1 convergence and lower semicontinuity of an integral functional

Published on 13 Apr 2026 - 10:39

357

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When is the mollification of an $L^p$ function in $L^p\cap L^{\infty}$?

Published on 14 Apr 2026 - 6:54

68

Views

Bounding the $L^q$ norm of the Fourier inversion

Published on 15 Apr 2026 - 11:00

229

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Example in $\ell^1$ of a bounded and componentwise convergent sequence that is not weakly convergent

Published on 15 Apr 2026 - 1:08

173

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Example in $\ell^\infty$ of a sequence that is bounded and componentwise convergent that is not weakly convergent

Published on 14 Apr 2026 - 6:24

List Question

A positive constant bounding all $L^p$-norm of a function for $p>1$

A sequence of functions in $L^1$ that does not converge weakly

Convergence a.e. but not in $L_{p}$ norm Corollary

How to prove the uniqueness criteria of the inner product defined on $L^2$ space

Folland theorem 6.19: $p=\infty$

Sequence of indicator function and $L^p(\mathbb{R}^d)$ convergence

Show that some function is in $L^p$ space

Does uniform convergence in $L^1$ imply uniform convergence in $L^2$?

Question about functions in $L^2$ space

Does Mollification Convergence in Lp still hold for Sequences?

Weak- L^1 convergence and lower semicontinuity of an integral functional

When is the mollification of an $L^p$ function in $L^p\cap L^{\infty}$?

Bounding the $L^q$ norm of the Fourier inversion

Example in $\ell^1$ of a bounded and componentwise convergent sequence that is not weakly convergent

Example in $\ell^\infty$ of a sequence that is bounded and componentwise convergent that is not weakly convergent

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