ON SUBCLASSES OF BMO(B) FOR SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS
Abstract: We discuss ^-harmonic functions of bounded mean oscillation in the unit ball Β of R., η > 2. We obtain first some weighted integrability results for the gradient for all ρ > 1. These are used to characterize ^-harmonic BMO{B)~functions in the case ρ = η by means of certain Möbius invariant weighted Dirichlet integrals. This characterization leads to an extension of the classical function space BMOA(D).