JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (4): 9-18.doi: 10.6040/j.issn.1671-9352.0.2015.123

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Boundedness of the Littlewood-Paley operators and cummutators on the Herz spaces with variable exponents

WANG Jie, QU Meng, SHU Li-sheng   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2015-03-24 Online:2016-04-20 Published:2016-04-08

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Abstract: The main result in the paper is the boundedness of the Littlewood-Paley integral operators(include Lusin area integral function, Littlewood-Paley g and g*λ)and its higher order commutators generated by BMO fucntions on the Herz spaces with two variable exponents p(·),α(·), where p(·),α(·) satisfies some continuous condition.

Key words: variable exponent, Littlewood-Paley integral operator, higher order commutator, Herz space

CLC Number: 

  • O174.2
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