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 R via the Lp boundedness of this commutator. Moreover, we also establish a characterisation of the VMO space on R via the compactness of this commutator.
|Number of pages||24|
|Publication status||Published - 2020|
- BMO spaces
- VMO spaces
- Cauchy integrals