Abstract
This paper is devoted to studying the behaviors of commutator μΩb generated by the Marcinkiewicz integral μΩ with b ∈ BMO(ℝn) on the weighted Hardy spaces. The authors show that there is a non-trivial subspace of BMO(ℝn), when b belongs to this subspaces, such that μΩb is bounded from the weighted Hardy spaces H pω (ℝn) to the weighted Lebesgue spaces L pω (ℝn) for some 0 < p ≤ 1.
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Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (Nos. 11771358, 11871101, 12171399).
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Han, Y., Wu, H. The Commutators of Marcinkiewicz Integral Operators on Weighted Hardy Spaces. Front. Math 18, 167–183 (2023). https://doi.org/10.1007/s11464-021-0315-0
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DOI: https://doi.org/10.1007/s11464-021-0315-0