JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (11): 106-110.doi: 10.6040/j.issn.1671-9352.0.2017.006

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Boundedness of commutators of the fractional Hardy operators on weighted spaces with variable exponent

MA Xiao-jie, ZHAO Kai*   

  1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2017-01-11 Online:2017-11-20 Published:2017-11-17

Abstract: Based on the boundedness of the n-dimensional fractional Hardy operators on Lebesgue spaces, the properties of Lipschitz functions and the estimates of the classical inequalities, the boundedness of the commutators generated by n-dimensional fractional Hardy operators and Lipschitz functions on weighted Herz-Morrey spaces with variable exponent are obtained.

Key words: commutator, fractional Hardy operator, Lipschitz function, Herz-Morrey space with variable exponent, Muckenhoupt weight

CLC Number: 

  • O174.2
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