Abstract
In this paper, the authors prove the boundedness of the multilinear maximal functions, multilinear singular integrals and multilinear Riesz potential on the product generalized Morrey spaces \(\mathcal{M}_{p_1 ,\omega _1 } (\mathbb{R}^n ) \times \cdots \times \mathcal{M}_{p_m ,\omega _1 } (\mathbb{R}^n )\) respectively. The main theorems of this paper extend some known results.
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Supported by the National Natural Science Foundation of China (11171306, 11226104, 11271330), the Jiangxi Natural Science Foundation of China (20114BAB211007) and the Science Foundation of Jiangxi Education Department (GJJ13703).
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Yu, X., Tao, Xx. Boundedness of multilinear operators on generalized Morrey spaces. Appl. Math. J. Chin. Univ. 29, 127–138 (2014). https://doi.org/10.1007/s11766-014-2815-0
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DOI: https://doi.org/10.1007/s11766-014-2815-0