Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

DOI10.1186/s13660-016-1192-zzbMath1348.42013OpenAlexW2531941665WikidataQ59459780 ScholiaQ59459780MaRDI QIDQ326454

Vagif S. Guliyev, Fatih Deringoz, Sabir G. Hasanov

Publication date: 12 October 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1192-z

zbMATH Keywords

BMO spacecommutatorRiesz potentialgeneralized Orlicz-Morrey space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (13)

An unification of Orlicz-Morrey spaces and its applications ⋮ Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces ⋮ Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces ⋮ Unnamed Item ⋮ Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces ⋮ Some characterizations of the generalized BMO spaces via the boundedness of maximal function commutators ⋮ Parameter Marcinkiewicz integral and its commutator on generalized Orlicz-Morrey spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Commutators of fractional maximal operator on generalized Orlicz-Morrey spaces ⋮ Some characterizations of Lipschitz spaces via commutators on generalized Orlicz-Morrey spaces ⋮ A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type ⋮ Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind

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