RESEARCH ARTICLE

Hardy factorization in terms of fractional commutators in Lorentz spaces

  • Nguyen Anh DAO
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  • Institute of Applied Mathematics, University of Economics Ho Chi Minh City, Ho Chi Minh City, Vietnam

Received date: 09 Mar 2021

Accepted date: 15 Jun 2021

Published date: 15 Oct 2022

Copyright

2022 Higher Education Press

Abstract

We provide a constructive proof of H1(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.

Cite this article

Nguyen Anh DAO . Hardy factorization in terms of fractional commutators in Lorentz spaces[J]. Frontiers of Mathematics in China, 2022 , 17(5) : 853 -873 . DOI: 10.1007/s11464-021-0946-1

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