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Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces
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Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces
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Journal Article
Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces
2025
Overview
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces. Furthermore, necessary and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator, generalized fractional integral, and maximal operators on the weighted Orlicz-Lorentz-Morrey and weak Orlicz-Lorentz-Morrey spaces are given, based on the exploration of properties of Young functions,
weights, and
weights. Specifying the weights and the Young functions, we recover the existing results and we obtain new results in the new and old settings.
Publisher
De Gruyter,De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
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