Weighted $L^{\infty}$-estimates for Bergman projections
Tom 171 / 2005
Studia Mathematica 171 (2005), 67-92
MSC: 47B38, 46A13.
DOI: 10.4064/sm171-1-4
Streszczenie
We consider Bergman projections and some new generalizations of them on weighted $L^\infty ( {\mathbb D} )$-spaces. A new reproducing formula is obtained. We show the boundedness of these projections for a large family of weights $v$ which tend to 0 at the boundary with a polynomial speed. These weights may even be nonradial. For logarithmically decreasing weights bounded projections do not exist. In this case we instead consider the projective description problem for holomorphic inductive limits.
