### 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

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.

CLC Number:

• O174.2
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