Evaluate the $L^p(R^2)$ norm of $f(x_1,x_2) \times \chi_{ \{(x_1,x_2):x_1^2+x_2^2 \leq 1\} }$
141281
How can apply the $L^p$ norm in a circle to $L^2$ norm in a square?
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
155232
Prove that inequality is true for $x>0$: $(e^x-1)\ln(1+x) > x^2$
95266
Show $|t|\leq \pi \Rightarrow |e^{it}-1|\geq 2|t|/ \pi$
136635
Proving that the Fourier Basis is complete for C(R/$2*\pi$ , C) with $L^2$ norm
51395
$f\in L^1(\mathbb{R}) \cap C^1(\mathbb{R})$ and $f'\in L^1(\mathbb{R})$
149536
Why is the  $L_p$ norm strictly convex for $1<p<\infty?$
118903
The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product
70415
Comparison between the $\ell_1$ and $\ell_2$ norms
156599
Wirtinger Inequality: $\int_0^1 f'^2 \geq \pi^2 \int_0^1 f^2 $
9613
If $f_k \to f$ a.e. and the $L^p$ norms converge, then $f_k \to f$ in $L^p$
89533
$\mathcal{K}(L^2(\mathbb{R}^m \times \mathbb{R}^n)) = \mathcal{K}(L^2(\mathbb{R}^m)) \otimes \mathcal{K}(L^2(\mathbb{R}^n))$?
144382
Proving $\lVert x \rVert_3$ is smaller than euclidean norm
104688
How can I prove that $x-{x^2\over2}<\ln(1+x)$
149997
Convolution operator has norm 1 with respect to $L^2$ norm
2504
Inequality $\left|\,x_1\,\right|+\left|\,x_2\,\right|+\cdots+\left|\,x_p\,\right|\leq\sqrt{p}\sqrt{x^2_1+x^2_2+\cdots+x^2_p}$
67625
$C([0, 1])$ is not complete with respect to the norm $\lVert f\rVert _1 = \int_0^1 \lvert f (x) \rvert \,dx$