JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (4): 6-16.doi: 10.6040/j.issn.1671-9352.0.2018.194

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Boundedness of generalized multilinear operators on variable exponent spaces

FANG Xiao-zhen, SUN Ai-wen, WANG Min, SHU Li-sheng   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui, China
  • Published:2019-04-08

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Abstract: Boundedness of multilinear Littlewood-Paley operators on variable exponent function spaces are studied. Based on the boundedness of the general Littlewood-Paley operator gφ on Lebesgue space, using the boundedness of Sharp maximal operator on variable Lebesgue space Lp(·), the boundedness of multilinear Littlewood-Paley operator on variable exponent Lebesgue space and variable exponent Herz-Morrey space are obtained.

Key words: multilinear operators, variable exponent Lebesgue space, variable exponent Herz-Morrey space, Sharp maximal operator

CLC Number: 

  • O174.2
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