Pointwise Multipliers on Weak Morrey Spaces
Pointwise Multipliers on Weak Morrey Spaces
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DOI：
10.1515/agms-2020-0119
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发表时间：
2020-01
影响因子：
1
通讯作者：
Ryota Kawasumi;E. Nakai
中科院分区：
文献类型：
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作者：
Ryota Kawasumi;E. Nakai
本文考虑齐型空间上具有可变增长条件的广义弱Morrey空间，刻画了从一个广义弱Morrey空间到另一个广义弱Morrey空间的逐点乘子。从一个弱勒贝格空间到另一个弱勒贝格空间的所有逐点乘子的集合也是一个弱勒贝格空间。然而，我们指出弱Morrey空间并不总是具有这一性质，正如Morrey空间并不总是具有这种性质一样。
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.