ANALYTIC WEIGHTED SPACES OF FUNCTIONS OF BOUNDED MEAN OSCILLATION ON THE UNIT DISC

摘要

Some weighted BMO_λ~p (D) spaces of functions of bounded mean oscillation on the unit disc are studied using Beresin transform. A description of the spaces BMO_λ~p (D) is given and it is shown that these spaces coincide with some spaces defined in terms of averages over hyperbolic discs.