JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 1-5.doi: 10.6040/j.issn.1671-9352.0.2016.037

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Boundedness of the parameterized Marcinkiewicz integral operators with variable kernels on weighted Campanato spaces

HUANG Ling-ling, ZHAO Kai*   

  1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2016-01-25 Online:2016-10-20 Published:2016-10-17

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Abstract: Based on the results of the boundedness of parameterized Marcinkiewicz integral operators on weighted Lp spaces, by using the estimates of classical inequalities and the properties of the weighted Campanato spaces, the boundedness of the parameterized Marcinkiewicz integral operators μρΩ with variable kernel on weighted Campanato and BMO spaces is obtained.

Key words: Marcinkiewicz integral operator, weighted Campanato space, boundedness, variable kernel

CLC Number: 

  • O174.2
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