On maximal functions in Orlicz spaces

DOI10.1090/S0002-9939-96-03807-5zbMath0862.42014MaRDI QIDQ4717068

Hiro-O Kita

Publication date: 24 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Orlicz spaceHardy-Littlewood maximal function

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) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (26)

On the continuity of weakly monotone functions ⋮ Fractional maximal commutator on Orlicz spaces for the Dunkl operator on the real line ⋮ Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces ⋮ Boundedness of the maximal operator and its commutators on vanishing generalized Orlicz-Morrey spaces ⋮ \(\Phi\)-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces ⋮ Korn type inequalities in Orlicz spaces ⋮ Weak and strong type inequalities criteria for fractional maximal functions and fractional integrals associated with Gegenbauer differential operator ⋮ Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces ⋮ Orlicz-Morrey spaces and fractional operators ⋮ Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces ⋮ Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting ⋮ Unnamed Item ⋮ \(\Phi\)-admissible sublinear singular operators and generalized Orlicz-Morrey spaces ⋮ On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces ⋮ Boundedness of fractional maximal operator and its commutators on generalized Orlicz-Morrey spaces ⋮ Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function ⋮ Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system ⋮ Intrinsic square functions on vanishing generalized Orlicz-Morrey spaces ⋮ Sharp estimates for some iterated operators in Orlicz spaces ⋮ Continuity properties of solutions to the \(p\)-Laplace system ⋮ Fractional maximal function and its commutators on Orlicz spaces ⋮ Weighted modular estimates for a generalized maximal operator on spaces of homogeneous type ⋮ On the maximal inequalities for martingales involving two functions ⋮ Simultaneous approximation of functions in Orlicz spaces with Muckenhoupt weights ⋮ Maximal functions and weighted norm inequalities on local fields ⋮ A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz–Morrey spaces

Cites Work

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