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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-04
Boundedness of the Commutators of Fractional Maximal Operator on Variable Exponent Herz-Morrey Spaces
Shi Hui, Zhao Kai
Published: July 30, 2018 | 128 92
DOI: 10.21276/sjpms.2018.5.4.2
Pages: 224-230
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Abstract
In this paper, using the Hölder inequality, by the properties of the fractional maximal operators and BMO functions, together with the definition of Herz-Morrey spaces with variable exponent, based on the boundedness of the commutators of the fractional maximal operator on Lp() , the boundedness of the commutators of the fractional maximal operators on variable exponent Herz-Morrey spaces is proved. This result generalized the classical situation for non-variable exponent. Keywords: variable exponent; fractional maximal operator; commutator; Herz-Morrey space.