Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces

Abdalmonem, Afif; Abdalrhman, Omer; Tao, Shuangping

dc.contributor.author	Abdalmonem, Afif
dc.contributor.author	Abdalrhman, Omer
dc.contributor.author	Tao, Shuangping
dc.date.accessioned	2016-07-21T13:09:20Z
dc.date.available	2016-07-21T13:09:20Z
dc.date.issued	2016-06
dc.identifier.uri	http://dx.doi.org/10.4236/am.2016.710104
dc.identifier.uri	http://hdl.handle.net/123456789/878
dc.description.abstract	In this paper, we study the boundedness of the fractional integral operator and their commutator on Herz spaecs with two variable exponents . By using the properties of the variable exponents Lebesgue spaces, the boundedness of the fractional integral operator and their commutator generated by Lipschitz function is obtained on those Herz spaces.	en_US
dc.language.iso	en	en_US
dc.publisher	Scientific Research Publishing	en_US
dc.relation.ispartofseries	Applied Mathematics, 2016, 7, 1165-1182;
dc.subject	Fractional Integral	en_US
dc.subject	Variable Kernel	en_US
dc.subject	Commutator	en_US
dc.subject	Variable Exponent	en_US
dc.subject	Lipschitz Space	en_US
dc.subject	Herz Spaces	en_US
dc.title	Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces	en_US
dc.type	Article	en_US