Fractional type Marcinkiewicz integral operators on function spaces
Fractional type Marcinkiewicz integral operators on function spaces
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DOI：
10.1515/forum-2013-0200
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发表时间：
2015-09
影响因子：
0.8
通讯作者：
Qingying Xue;K. Yabuta;Jingquan Yan
中科院分区：
文献类型：
--
作者：
Qingying Xue;K. Yabuta;Jingquan Yan
本文讨论了分数次型Marcinkiewicz积分算子的有界性，改进了Chen，Fan和Ying在2002年给出的一个结果。证明了在一定条件下分数次型Marcinkiewicz积分算子从Triebel-Lizorkin空间到L（R）是有界的.我们大大削弱了他们的假设，并将他们的结果扩展到一个更普遍的方式。
In this paper, we discussed about the boundedness of the fractional type Marcinkiewicz integral operators, and improved a result given by Chen, Fan and Ying in 2002. They showed that under certain conditions the fractional type Marcinkiewicz integral operators are bounded from the Triebel-Lizorkin spaces Ḟ pq(R) to L(R). We greatly weakened their assumptions and extended their results to a pretty much more general way.