Commutators of multipliers on Hardy spaces
- Cite this article as:
- Zhang, P. & Hua, J. Anal. Theory Appl. (2005) 21: 226. doi:10.1007/BF02836952
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Let T be the multiplier operator associated to a multiplier m, and [b,T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b, T] is bounded from the Hardy spaceH1(ℝn) into the weakL1(ℝn) space and from certain atomic Hardy spaceHb1(ℝn into the Lebesgue spaceL1(ℝn), when the multiplier m satisfies the conditions of Hörmander type.