Some remarks on the dyadic Rademacher maximal function
Some remarks on the dyadic Rademacher maximal function
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关于二进Rademacher极大函数的一些评论
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发表时间：
2012
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通讯作者：
Mikko Kemppainen
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作者：
Mikko Kemppainen
作者在以前的文章中研究了向量值鞅的极大函数的性质。在并矢情形下，证明了（加权）L^p不等式与弱型估计之间的等价性，并讨论了R^n上局部有限Borel测度情形的推广.此外，为了弥补L^infty不等式的不足，我们得到了一个合适的BMO估计。不同的并元系统在不同的维度也被认为是。
Properties of a maximal function for vector-valued martingales were studied by the author in an earlier paper. Restricting here to the dyadic setting, we prove the equivalence between (weighted) L^p inequalities and weak type estimates, and discuss an extension to the case of locally finite Borel measures on R^n. In addition, to compensate for the lack of an L^infty inequality, we derive a suitable BMO estimate. Different dyadic systems in different dimensions are also considered.