Czechoslovak Mathematical Journal, Vol. 69, No. 4, pp. 1039-1052, 2019
Multi-Morrey spaces for non-doubling measures
Suixin He
Received January 17, 2018. Published online May 21, 2019.
Abstract: 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.