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arXiv math/0309063math.CA
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位势空间和切向逼近区域的弱型估计的一个反例

A counterexample to a weak-type estimate for potential spaces and tangential approach regions

Javier Soria, Olof Svensson

摘要:

我们证明了对于每一个非平凡的位势空间$L^{1}_{K}(\mathbb{R}^{n})$,存在一个逼近区域,在该区域上对应的极大值函数是弱型的,但在完备区域上的有界性是假的,这与非切向情形相反.

英文摘要:

We show that for every nontrivial potential space $L^{1}_{K}(\mathbb{R}^{n})$, there exists an approach region for which the associated maximal function is of weak-type, but the boundedness for the completed region is false, which is in contrast with the nontangential case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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