Weak type estimates of singular integral operators on Morrey-Banach spaces. (English) Zbl 1418.42018
The author firstly defines Morrey-Banach spaces, which are Morrey spaces built on Banach function spaces. Subsequently, the author defines singular integral operators on Morrey-Banach spaces, and establishes weak-type estimates of these integral operators on Morrey-Banach spaces. As applications, the author obtains weak-type estimates for Calderón-Zygmund operators on Morrey spaces with variable exponent.
Reviewer: Hongbin Wang (Zibo)
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B25 | Maximal functions, Littlewood-Paley theory |
| 42B35 | Function spaces arising in harmonic analysis |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
Keywords:
weak-type estimates; singular integral operators; Morrey spaces; Banach function space; variable exponentReferences:
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