Abstract We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one. The set of all pointwise multipliers from a weak Lebesgue space to another one is also a weak Lebesgue space. However, we point out that the weak Morrey spaces do not always have this property just as the Morrey spaces not always.

中文翻译：

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弱莫雷空间上的逐点乘数

摘要 我们考虑在齐次类型空间上具有可变增长条件的广义弱莫雷空间，并刻画从广义弱莫雷空间到另一个的逐点乘子。从一个弱 Lebesgue 空间到另一个空间的所有点乘子的集合也是一个弱 Lebesgue 空间。然而，我们指出弱莫雷空间并不总是像莫雷空间一样具有这种性质。