Generalized fractional integrals on generalized Morrey spaces |
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Authors: | Eiichi Nakai |
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Institution: | Department of Mathematics, Ibaraki University, Mito, Ibaraki, Japan |
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Abstract: | 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. |
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Keywords: | Morrey space variable exponent variable growth function fractional integral maximal function 46E30 42B35 26A33 42B25 |
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