Characterization of maximal operators in Orlicz-Morrey spaces of homogeneous type. (English) Zbl 1099.42022
The celebrated Carleson theorem is extended to the context of Orlicz-Morrey spaces \(L^{\Phi\phi}(X,\mu)\) of homogeneous type over space of homogeneous type. The paper also establishes a criterion for boundedness of the generalized Hardy-Littlewood maximal operator in Orlicz-Morrey spaces on space of homogeneous type.
Reviewer: Yanchang Han (Guangzhou)
MSC:
| 42B25 | Maximal functions, Littlewood-Paley theory |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
| 42B35 | Function spaces arising in harmonic analysis |
| 43A85 | Harmonic analysis on homogeneous spaces |
Keywords:
homogeneous type space; \(N\)-function; Orlicz-Morrey spaces; Hardy-Littlewood maximal operatorReferences:
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