List questions from lp-spaces

Published on 16 Apr 2026 - 14:45

94

Views

Lp-norm inequality for double sum

Published on 08 Apr 2026 - 21:54

45

Views

Show that the right shift operator is bounded

Published on 11 Apr 2026 - 7:30

69

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Limit $\ell^p$ norms

Published on 13 Apr 2026 - 10:02

36

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Relation between convergence in $L^2$ and convergence of the integrals

Published on 14 Apr 2026 - 6:53

55

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Boundedness in $L^p$ spaces

Published on 14 Apr 2026 - 4:38

144

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Fundamental solution of Helmholtz equation in $L^p$? why?

Published on 08 Apr 2026 - 17:41

100

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Calculate the adjoint of the operator $D = \frac{1}{i} \frac{d}{dx}$

Published on 16 Apr 2026 - 1:24

45

Views

Prove that $L_0 = (-i)^m \frac{d^m u}{dx^m}$ is a positive operator

Published on 13 Apr 2026 - 20:07

28

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Simultanious convergence in $L^p$ and $L^q$

Published on 14 Apr 2026 - 8:35

98

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Sobolev estimates $\|\phi\|_2\leq\|\phi\|_{H^2}$

Published on 15 May 2026 - 1:48

116

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Sobolev estimates $\|\nabla\phi\|_{\infty}\leq C\|\phi\|_{H^2}$

Published on 15 May 2026 - 1:49

122

Views

Extreme points of a modified unit ball $\ell^p$

Published on 11 Apr 2026 - 12:02

119

Views

If $h$ is measurable and $fh \in L^q$ for all $f \in L^p$ then $f \mapsto fh$ is a continuous map from $L^p$ to $L^q$

Published on 16 Apr 2026 - 5:27

22

Views

Is $\{ \psi\in L^\infty(\sigma) \mid \operatorname{ess\,inf} \vert\psi\vert >0 \}$ meagre/nonmeagre/comeagre?

Published on 14 Apr 2026 - 9:02

List Question

L2-Inequality for partial sums

Lp-norm inequality for double sum

Show that the right shift operator is bounded

Limit $\ell^p$ norms

Relation between convergence in $L^2$ and convergence of the integrals

Boundedness in $L^p$ spaces

Fundamental solution of Helmholtz equation in $L^p$? why?

Calculate the adjoint of the operator $D = \frac{1}{i} \frac{d}{dx}$

Prove that $L_0 = (-i)^m \frac{d^m u}{dx^m}$ is a positive operator

Simultanious convergence in $L^p$ and $L^q$

Sobolev estimates $\|\phi\|_2\leq\|\phi\|_{H^2}$

Sobolev estimates $\|\nabla\phi\|_{\infty}\leq C\|\phi\|_{H^2}$

Extreme points of a modified unit ball $\ell^p$

If $h$ is measurable and $fh \in L^q$ for all $f \in L^p$ then $f \mapsto fh$ is a continuous map from $L^p$ to $L^q$

Is $\{ \psi\in L^\infty(\sigma) \mid \operatorname{ess\,inf} \vert\psi\vert >0 \}$ meagre/nonmeagre/comeagre?

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