Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent

Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent

By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.

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Veröffentlicht in:Journal of function spaces 2013-01, Vol.2013 (2013), p.1-7
Hauptverfasser: Wang, Liwei, Shu, Lisheng, Qu, Meng
Format: Artikel
Sprache:eng
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Zusammenfassung:By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.
ISSN:2314-8896
0972-6802
2314-8888
1758-4965
DOI:10.1155/2013/257537