Abstract.
In this paper, we define the generalized Morrey spaces on \({\mathbb{R}}^{d}\) with the measure μ non-doubling. After defining the space, we shall investigate the properties of maximal operators, fractional integral operators and the singular integral operators. And we shall allude to the vector-valued extension of these operators.
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In writing this paper, the author is supported financially by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.
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Sawano, Y. Generalized Morrey Spaces for Non-doubling Measures. Nonlinear differ. equ. appl. 15, 413–425 (2008). https://doi.org/10.1007/s00030-008-6032-5
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DOI: https://doi.org/10.1007/s00030-008-6032-5