Bounded Projectors and Duality in the Spaces of Functions Holomorphic in the Unit Ball

摘要

The paper studies the Banach spaces h (a)(phi), h (0)(phi), and h (1)(eta) of harmonic functions over the unit ball in R (n) . These spaces depend on a weight function phi and a weight measure eta. For a given function phi from a sufficiently broad class of functions, we solve the duality problem. that is, we construct measures eta such that h (1)(eta)* similar to h (a)(phi) and h (0)(phi)* similar to h (1)(eta).