Abstract
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 spaceH 1(ℝn) into the weakL 1(ℝn) space and from certain atomic Hardy spaceH 1 b (ℝn into the Lebesgue spaceL 1(ℝn), when the multiplier m satisfies the conditions of Hörmander type.
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Supported by the Research Funds of Zhejiang Sci-Tech University (No. 0313055-Y).
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Zhang, P., Hua, J. Commutators of multipliers on Hardy spaces. Anal. Theory Appl. 21, 226–234 (2005). https://doi.org/10.1007/BF02836952
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DOI: https://doi.org/10.1007/BF02836952