Generalized fractional integrals on generalized Morrey spaces
Copyright policy )Generalized fractional integrals on generalized Morrey spaces
On generalized Morrey spaces with variable exponent and variable growth function the boundedness of generalized fractional integral operators is established, where . The result is a generalization of the theorems of Adams [1] (1975) and Gunawan [11] (2003). Moreover, we prove weak type boundedness. To do this we first prove the boundedness of the Hardy‐Littlewood maximal operator on the generalized Morrey spaces.
- Ibaraki University Japan
variable exponent, fractional integral operator, Fractional derivatives and integrals, Maximal functions, Littlewood-Paley theory, generalized Morrey space, Hardy-Littlewood maximal function, Function spaces arising in harmonic analysis, variable growth function, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
variable exponent, fractional integral operator, Fractional derivatives and integrals, Maximal functions, Littlewood-Paley theory, generalized Morrey space, Hardy-Littlewood maximal function, Function spaces arising in harmonic analysis, variable growth function, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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