List questions from lp-spaces

Published on 06 Mar 2018 - 20:11

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Can we find two linearly independent index functions?

Published on 06 Mar 2018 - 23:25

1.7k

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$L^2$ convergence of holomorphic functions

Published on 07 Mar 2018 - 2:04

58

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

Published on 07 Mar 2018 - 17:04

3.6k

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Convergence in Lp implies convergence in Lp norms finite

Published on 08 Mar 2018 - 0:20

64

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

Published on 08 Mar 2018 - 12:40

35

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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 08 Mar 2018 - 14:57

559

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Holder inequality, Lp and Lq spaces

Published on 24 Mar 2026 - 20:47

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 08 Mar 2018 - 21:29

68

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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 09 Mar 2018 - 9:58

696

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Sobolev inequality and chain rule

Published on 19 Mar 2026 - 17:19

34

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

Published on 10 Mar 2018 - 21:17

43

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Theorem IX.13. in Reed Simon

Published on 11 Mar 2018 - 19:12

518

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L2 Norm Inequality

Published on 24 Mar 2026 - 22:10

340

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

Published on 13 Mar 2018 - 14:55

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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