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arXiv · 2403.09839

Boundedness of composition operator in Orlicz-Morrey spaces

Masahiro Ikeda·Isao Ishikawa·Ryota Kawasumi
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Abstract

In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces. The weak Orlicz-Morrey spaces contain the Orlicz-Morrey spaces.

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Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi. 2024-03-14. Boundedness of composition operator in Orlicz-Morrey spaces. https://doi.org/10.1002/mana.70241

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