J4 ›› 2011, Vol. 49 ›› Issue (05): 835-838.

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Boundedness of Commutators of Fractional Maximal Operators on MorreyHerz Spaces with Nondoubling Measure

ZHAO Kai1, WANG Yonggang1, WANG Lei2   

  1. 1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong Province, China;2. Department of Mathematics, Teachers College, Qingdao University, Qingdao 266071, Shandong Province, China
  • Received:2010-12-14 Online:2011-09-26 Published:2011-09-27
  • Contact: ZHAO Kai E-mail:zkzc@yahoo.com.cn

Abstract:

With the help of the characteristics of the MorreyHerz spaces and the RBMO(μ) functions, and the properties of K Q,R for any two cubes with nondoubling measure, the boundedness of the HardyLittlewood fractional maximal commutator Mdb on MorreyHerz space with nondoubling measure is obtained.

Key words: non-doubling measure, MorreyHerz space, commutator, boundedness

CLC Number: 

  • O174.2