Cauchy integral commutators and Hardy factorization on Lorentz spaces

Cauchy integral commutators and Hardy factorization on Lorentz spaces

In this paper, we prove Lorentz boundedness and compactness characterization of Cauchy integral commutators. Furthermore, we also prove Hardy factorization theorems in Lorentz spaces.

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Veröffentlicht in:Journal of mathematical analysis and applications 2021-06, Vol.498 (1), p.124926, Article 124926
Hauptverfasser: Dao, Nguyen Anh, Krantz, Steven G., Lam, Nguyen
Format: Artikel
Sprache:eng
Schlagworte:
BMO
Cauchy integrals
CMO
Commutators
Lorentz spaces
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Beschreibung
Zusammenfassung:In this paper, we prove Lorentz boundedness and compactness characterization of Cauchy integral commutators. Furthermore, we also prove Hardy factorization theorems in Lorentz spaces.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.124926