Endpoint Estimates for Generalized Multilinear Fractional Integrals on the Non-homogeneous Metric Spaces

Citation:

Jiecheng CHEN,Xiaoli CHEN,Fangting JIN.Endpoint Estimates for Generalized Multilinear Fractional Integrals on the Non-homogeneous Metric Spaces[J].Chinese Annals of Mathematics B,2018,39(4):721~738
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Authors:

Jiecheng CHEN; Xiaoli CHEN;Fangting JIN

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11271330, 11261023, 11461033, 11401269) and the Jiangxi Provincial Natural Science Foundation of China (No.20142BAB201003).
Abstract: In this paper, some endpoint estimates for the generalized multilinear fractional integrals $I_{\alpha, m}$ on the non-homogeneous metric spaces are established.

Keywords:

Generalized multilinear fractional integrals, Lipschitz space,RBMO space, Morrey space, Non-homogeneous metric space

Classification:

42B25, 42B30
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