Geodesic
Multi-Morrey spaces for non-doubling measures
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1039-1052
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The spaces of multi-Morrey type for positive Radon measures satisfying a growth condition on $\mathbb {R}^{d}$ are introduced. After defining the spaces, we investigate the multilinear maximal function, the multilinear fractional integral operator and the multilinear Calderón-Zygmund operators, respectively, from multi-Morrey spaces to Morrey spaces.
The spaces of multi-Morrey type for positive Radon measures satisfying a growth condition on $\mathbb {R}^{d}$ are introduced. After defining the spaces, we investigate the multilinear maximal function, the multilinear fractional integral operator and the multilinear Calderón-Zygmund operators, respectively, from multi-Morrey spaces to Morrey spaces.
DOI : 10.21136/CMJ.2019.0031-18
Classification : 42B25, 42B35
Keywords: multi-Morrey space; multilinear maximal function; multilinear fractional integral operator; multilinear Calderón-Zygmund operator 
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He, Suixin. Multi-Morrey spaces for non-doubling measures. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1039-1052. doi: 10.21136/CMJ.2019.0031-18

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