Note on Nikodym maximal in the variable Lebesgue spaces
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- 作者：Yutae Choi ; Youngwoo Koh and Jungjin Lee
- 刊名：Mathematische Nachrichten
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：290
- 期：2-3
- 页码：187-200
- 全文大小：228K
- ISSN：1522-2616
文摘
In this paper we consider the k-plane Nikodym maximal estimates in the variable Lebesgue spaces . We first formulate the problem about the boundedness of the k-plane Nikodym maximal and show that the maximal estimate in is equivalent to that in for . So, the optimal Nikodym maximal estimate in follows from Cordoba's estimate.