Boundedness of composition operators from Lorentz spaces to Orlicz spaces
arxiv(2024)
摘要
The boundedness (continuity) of composition operators from some function
space to another one is significant, though there are few results about this
problem. Thus, in this study, we provide necessary and sufficient conditions on
the boundedness of composition operators from Lorentz spaces to Orlicz spaces.
We emphasize that the measure spaces associated with the Lorentz space may be
different from those associated with the Orlicz spaces. Moreover we give some
examples and counterexamples of the composed mappings in the conditions.
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