List questions from lp-spaces

Published on 12 Apr 2026 - 5:45

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Can we find two linearly independent index functions?

Published on 14 Apr 2026 - 2:33

1.7k

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$L^2$ convergence of holomorphic functions

Published on 15 Apr 2026 - 14:15

61

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What does $\|u\|_{L^p(B(x,r))}$ mean?

Published on 15 Apr 2026 - 5:48

3.6k

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Convergence in Lp implies convergence in Lp norms finite

Published on 12 Apr 2026 - 4:11

69

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Convergence of function series $f_n(x) = e^n 1_{[0,\frac{1}{n}]}$ in Lp spaces

Published on 17 Apr 2026 - 7:38

38

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Norm $L^p$ for the function $f(x) = \sin(e^{x^3}) 1_{A \cap \mathbb{Q}}(x) + e^{-x} 1_{A/\mathbb{Q}}(x)$

Published on 17 Apr 2026 - 13:34

566

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Holder inequality, Lp and Lq spaces

Published on 10 May 2026 - 12:15

1k

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How to prove that $L^{\infty}([0,1]) \subset L^q([0,1]) \subset L^p([0,1])$?

Published on 16 Apr 2026 - 5:16

71

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Prove $\exists \alpha \in ]0,1]$ such as : $|F(x)-F(y)| \leq ||f||_p |x-y|^{\alpha}$ (Holder)

Published on 14 Apr 2026 - 10:49

702

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Sobolev inequality and chain rule

Published on 10 May 2026 - 11:19

37

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Convolution $f* \delta_h$ and integral of a function, $L^p$ spaces

Published on 09 Apr 2026 - 0:07

46

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Theorem IX.13. in Reed Simon

Published on 15 Apr 2026 - 23:26

525

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L2 Norm Inequality

Published on 10 May 2026 - 13:22

342

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Surjectivity of an operator on $L^2(R)$ defined as identity minus convolution

Published on 11 Apr 2026 - 18:33

List Question

Showing a bounded operator is Linear

Can we find two linearly independent index functions?

$L^2$ convergence of holomorphic functions

What does $\|u\|_{L^p(B(x,r))}$ mean?

Convergence in Lp implies convergence in Lp norms finite

Convergence of function series $f_n(x) = e^n 1_{[0,\frac{1}{n}]}$ in Lp spaces

Norm $L^p$ for the function $f(x) = \sin(e^{x^3}) 1_{A \cap \mathbb{Q}}(x) + e^{-x} 1_{A/\mathbb{Q}}(x)$

Holder inequality, Lp and Lq spaces

How to prove that $L^{\infty}([0,1]) \subset L^q([0,1]) \subset L^p([0,1])$?

Prove $\exists \alpha \in ]0,1]$ such as : $|F(x)-F(y)| \leq ||f||_p |x-y|^{\alpha}$ (Holder)

Sobolev inequality and chain rule

Convolution $f* \delta_h$ and integral of a function, $L^p$ spaces

Theorem IX.13. in Reed Simon

L2 Norm Inequality

Surjectivity of an operator on $L^2(R)$ defined as identity minus convolution

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