user46007

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9 Questions

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3	How to compute $\min_{\{a, b, c\}}\int^{\infty}_0\|x^3-a-bx-cx^2\|^2e^{-x}\,dx$
3	$X$ is locally compact Hausdorff space, $\mu$ is Borel regular measure. How to prove $\mu$ is cover $[0,\mu(A)]$
2	Prove unit ball of $L^p(\mu)$ is strictly convex, when $1<p<\infty$
1	Showing that $\|\|V(f,x)\|\|_{L^2((1,\infty),m)}\le C\|\|f\|\|_{L^p((1,\infty),m)}$ [duplicate]
1	$\lim_{n\rightarrow \infty}\int_0^1f_nhdm=\int_0^1fhdm$, prove $f\in L^p(m)$ , where $1\le p<\infty$.

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75 Reputation

+5	How to compute $\min_{\{a, b, c\}}\int^{\infty}_0\|x^3-a-bx-cx^2\|^2e^{-x}\,dx$
+5	Showing that $\|\|V(f,x)\|\|_{L^2((1,\infty),m)}\le C\|\|f\|\|_{L^p((1,\infty),m)}$
+5	$\lim_{n\rightarrow \infty}\int_0^1f_nhdm=\int_0^1fhdm$, prove $f\in L^p(m)$ , where $1\le p<\infty$.
+5	$\|\mu+\nu\|(E)\le\|\mu\|(E)+\|\nu\|(E)$

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0 Answers

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11 Tags

0 real-analysis × 8	0 norm
0 lp-spaces × 3	0 orthonormal
0 measure-theory × 3	0 compactness
0 integral × 2	0 convergence
0 limit × 2	0 functional-analysis

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$Mathematics Stack Exchange$	Mathematics	75 rep	4
	Stack Overflow	1 rep

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