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Generalized fractional integral operators on variable exponent Morrey spaces of an integral form

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Abstract

We establish the boundedness of generalized fractional integral operators \(I_{\rho}\) on variable exponent Morrey spaces of an integral form \(\mathcal{L}^{p(\cdot),\omega}(G)\), where \(\rho(x,r)\) and \(\omega(x,r)\)are general functions satisfying certain conditions.

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Authors and Affiliations

  1. Faculty of Education, Oita University, Dannoharu Oita-city, 870-1192, Japan

    T. Ohno

  2. Department of Mathematics, Graduate School of Humanities and Social Sciences, Hiroshima University, Higashi-Hiroshima, 739-8524, Japan

    T. Shimomura

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  1. T. Ohno
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  2. T. Shimomura
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Correspondence to T. Ohno.

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Ohno, T., Shimomura, T. Generalized fractional integral operators on variable exponent Morrey spaces of an integral form. Acta Math. Hungar. 167, 201–214 (2022). https://doi.org/10.1007/s10474-022-01245-y

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  • DOI: https://doi.org/10.1007/s10474-022-01245-y

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