In 1995, Pérez introduced \(B_{p}\)-condition, which is necessary and sufficient condition for the boundedness of the Orlicz maximal operator on \(L^{p}\) spaces. After, necessary and sufficient condition of the Hardy–Littlewood–Sobolev type inequality for Orlicz-fractional maximal operator is derived by Cruz-Uribe and Moen in 2013. In this paper, we investigate the boundedness of Orlicz maximal operator, Orlicz-fractional maximal operator and fractional integral operator in Morrey and Orlicz–Morrey spaces on the assumption that each Young function satisfies these conditions, respectively. In particular, one of the main results is based on the Adams inequality in the framework of Morrey spaces.

1995年，Pérez引入了\（B_ {p} \）- condition，这是\（L ^ {p} \）空间上Orlicz极大算子的有界性的必要和充分条件。在2013年由Cruz-Uribe和Moen推导了Orlicz-分数阶最大算子的Hardy-Littlewood-Sobolev型不等式的充要条件。在本文中，我们研究Orlicz极大算子，Orlicz-分数阶最大算子的有界性假设每个Young函数分别满足这些条件，则在Morrey和Orlicz-Morrey空间中使用分数积分算子。特别是，主要结果之一是基于Morrey空间框架中的Adams不等式。