Hardy factorization in terms of fractional commutators in Lorentz spaces

doi:10.1007/s11464-021-0946-1

Front. Math. China

2022, Vol. 17

Issue (5) : 853-873 https://doi.org/10.1007/s11464-021-0946-1

RESEARCH ARTICLE

Hardy factorization in terms of fractional commutators in Lorentz spaces

Nguyen Anh DAO(

)

Institute of Applied Mathematics, University of Economics Ho Chi Minh City, Ho Chi Minh City, Vietnam

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Abstract

We provide a constructive proof of $H 1 (ℝ d)$ (the classical Hardy space) factorization in terms of fractional commutators in Lorentz spaces. As a direct application, we obtain a characterization of functions in BMO space. Furthermore, we also obtain a Lorentz compactness characterization of fractional commutators.

Keywords BMO CMO Lorentz space commutator Hardy space Riesz potential

Corresponding Author(s): Nguyen Anh DAO

Issue Date: 28 December 2022

Cite this article:

Nguyen Anh DAO. Hardy factorization in terms of fractional commutators in Lorentz spaces[J]. Front. Math. China, 2022, 17(5): 853-873.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0946-1
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I5/853

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