Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind
复制标题
Orlicz 和第三类广义 Orlicz-Morrey 空间上的广义分数极大值和积分算子
DOI：
10.1007/s11117-018-0635-9
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发表时间：
2019
期刊：
影响因子：
1
通讯作者：
Yoshihiro Sawano and Minglei Shi
中科院分区：
文献类型：
--
作者：
Fatih Deringoz;Vagif S. Guliyev;Eiichi Nakai;Yoshihiro Sawano and Minglei Shi
本文将分别刻画广义分数次积分算子和广义分数次极大算子在Orlicz空间上的有界性。此外，我们还分别给出了广义Orlicz-Morrey空间上算子和的Spanne型有界性和Adams型有界性的一个刻画.此外，我们还给出了广义Orlicz-Morrey空间上算子的Spanne型有界性和Adams型有界性的弱形式的准则。
In the present paper, we will characterize the boundedness of the generalized fractional integral operatorsand the generalized fractional maximal operatorson Orlicz spaces, respectively. Moreover, we will give a characterization for the Spanne-type boundedness and the Adams-type boundedness of the operatorsandon generalized Orlicz–Morrey spaces, respectively. Also we give criteria for the weak versions of the Spanne-type boundedness and the Adams-type boundedness of the operatorsandon generalized Orlicz–Morrey spaces.