JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 6-10.doi: 10.6040/j.issn.1671-9352.0.2016.128

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Lipschitz commutators of fractional integrals on Herz-type spaces with variable exponents

WANG Jin-ping, ZHAO Kai*   

  1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2016-03-25 Online:2016-10-20 Published:2016-10-17

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Abstract: By the boundedness of commutators for fractional integrals with Lipschitz functions and the Riesz potential on variable Lebesgue spaces, based on the atomic decomposition of Herz-type Hardy spaces with variable exponents, using the properties of Lipschitz functions and the estimations of the classical inequalities, we proved that the Lipschitz commutators of fractional integrals are bounded from Herz-type Hardy spaces with variable exponents to variable Herz spaces.

Key words: fractional integral, variable exponent, Herz-Hardy space, commutator, boundedness

CLC Number: 

  • O174.2
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