JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (9): 54-58.doi: 10.6040/j.issn.1671-9352.0.2016.613

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Boundedness of commutators of Calderón-Zygmund operators and fractional integrals in homogeneous grand variable exponent Lebesgue spaces

LU Qiang-de, TAO Shuang-ping*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Guansu, China
  • Received:2016-11-25 Online:2017-09-20 Published:2017-09-15

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Abstract: By applying the estimates of the sharp maximal functions. It is proved that the commutators of the Calderón-Zygmund operator and the fractional integral are bounded on a new class of the homogeneous grand variable exponent Lebesgue spaces Lp(·),θ(X) and(~overL)p(·),θ(X), respectively.

Key words: Calderón-Zygmund operator, fractional operator, homogeneous grand variable exponent Lebesgue space, commutator

CLC Number: 

  • O174.2
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