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.
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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     author = {He, Suixin},
     title = {Multi-Morrey spaces for non-doubling measures},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1039--1052},
     publisher = {mathdoc},
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     year = {2019},
     doi = {10.21136/CMJ.2019.0031-18},
     mrnumber = {4039618},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0031-18/}
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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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