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Bull. Korean Math. Soc. 2020; 57(2): 383-391
Online first article August 2, 2019 Printed March 31, 2020
https://doi.org/10.4134/BKMS.b190269
Copyright © The Korean Mathematical Society.
Endpoint estimates for multilinear fractional maximal operators
Suixin He, Jing Zhang
Yili Normal University; Yili Normal University
We study the mapping property of multilinear fractional \linebreak maximal operators in Lipschitz spaces. It should be pointed out that some of the techniques employed in the study of fractional integral operators do not apply to fractional maximal operators.
Keywords: Lipschitz spaces, Morrey spaces, multilinear fractional integral operator, multilinear fractional maximal operator
MSC numbers: Primary 42B20, 42B25, 42B35
Supported by: This work was supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region (2019D01C334); Doctoral fund of Yili Normal University(2017YSBS09).
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