Characterizations of Lipschitz functions via commutators generated by parametric Marcinkiewicz integral on generalized Orlicz-Morrey spaces. (English) Zbl 1513.42081
Summary: In this paper, we give some new characterizations of the Lipschitz spaces via the Spanne-Guliyev and Adams-Guliyev type boundedness of the commutators associated with the parametric Marcinkiewicz integral on generalized Orlicz-Morrey spaces.
MSC:
| 42B25 | Maximal functions, Littlewood-Paley theory |
| 42B35 | Function spaces arising in harmonic analysis |
Keywords:
parametric Marcinkiewicz integrals; generalized Orlicz-Morrey spaces; commutator; Lipschitz spacesReferences:
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