Inequalities with weights for maximal functions in orlicz spaces
Copyright policy )Inequalities with weights for maximal functions in orlicz spaces
The author gives conditions for the strong-type modular inequality \[ \int_{\mathbb{R}^n} \Phi (Mf)d\mu\leq \int_{\mathbb{R}^n}\Psi (c|f|)d\mu, \] where \(\Phi\) and \(\Psi\) are Young functions and \(M\) is the Hardy-Littlewood maximal operator.
- Oita University Japan
Young functions, Orlicz classes, Maximal functions, Littlewood-Paley theory, weighted modular inequalities, maximal operator, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Young functions, Orlicz classes, Maximal functions, Littlewood-Paley theory, weighted modular inequalities, maximal operator, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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