The Cauchy integral, bounded and compact commutators
Tom 250 / 2020
Studia Mathematica 250 (2020), 193-216
MSC: Primary 42B35; Secondary 42B20.
DOI: 10.4064/sm180715-13-12
Opublikowany online: 29 July 2019
Streszczenie
We study the commutator of the well-known Cauchy integral with a locally integrable function on \mathbb R, and establish a characterisation of the BMO space on \mathbb R via the L^p boundedness of this commutator. Moreover, we also establish a characterisation of the VMO space on \mathbb R via the compactness of this commutator.
