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Results tagged with reference-request
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user 66622
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
0
answers
208
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On Radon-Nikodym property of a dual of a Bochner space
Let ${\rm S}^{n-1}$ be the unit sphere of ${\bf R}^n$ and let us consider the dual of the space $L^p\left({\bf R}^n; C^1({\rm S}^{n-1})\right)$, for some $p\in\langle1,\infty\rangle$: it is the space …
- 165
3
votes
1
answer
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A variant of the Hardy-Littlewood-Sobolev inequality in one dimensional case
The classical one-dimensional case is: for $\alpha\in\langle0,1\rangle$ and $1<p<q<\infty$ such that $1/q=1/p-\alpha$, there is a constant $C_p>0$ depending on $p$ such that
$$\|I_\alpha f\|_{L^q}\leq …
- 165