Bergman Projections on Besov Spaces on the Ball II
Extended Bergman projections from Lebesgue classes onto Besov spaces on
the unit ball are defined and characterized.
Right inverses and adjoints of the projections share the property that they are imbeddings of Besov spaces into Lebesgue classes via certain combinations of radial derivatives. Applications to the Gleason problem at arbitrary points in the ball, duality, and complex interpolation in Besov spaces are obtained.
Results apply, in particular, to the Hardy space H2, the Arveson space, the Dirichlet space, and the Bloch space.
Place: Mathematics Seminar Room, SA141