Boundedness of the Riesz potential in central Morrey-Orlicz spaces
[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee
2022
scientific article
english
- Riesz potential
- Orlicz functions
- Orlicz spaces
- Morrey-Orlicz spaces
- central Morrey-Orlicz spaces
- weak central Morrey-Orlicz spaces
EN Boundedness of the maximal operator and the Calderón–Zygmund singular integral operators in central Morrey–Orlicz spaces were proved in papers (Maligranda et al. in Colloq Math 138:165–181, 2015; Maligranda et al. in Tohoku Math J 72:235–259, 2020) by the second and third authors. The weak-type estimates have also been proven. Here we show boundedness of the Riesz potential in central Morrey–Orlicz spaces and the corresponding weak-type version.
22-1 - 22-26
article number: 22
CC BY (attribution alone)
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final published version
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