, Volume 18, Issue 2, pp 391-404

Continuity of Higher Order Commutators on Certain Hardy Spaces

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Abstract

In this paper, the autors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces.

The research is supported by NSF of China (Grant: 19971010), DPFIHE of China (Grant: 98002703) and National 973 Project of China.