The Cauchy integral, bounded and compact commutators
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(Published version)
Date
2020
Authors
Li, J.
Nguyen, T.T.T.
Ward, L.A.
Wick, B.D.
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Studia Mathematica, 2020; 250(2):193-216
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Abstract
We study the commutator of the well-known Cauchy integral with a locally integrable function b on R, and establish a characterisation of the BMO space on Rvia the Lp boundedness of this commutator. Moreover, we also establish a characterisationof the VMO space on R via the compactness of this commutator.
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Link to a related website: https://arxiv.org/pdf/1709.00703.pdf, Open Access via Unpaywall
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Copyright 2020 Instytut Matematyczny