Weighted $L^/infty$-estimates for Bergman projections
Weighted $L^/infty$-estimates for Bergman projections
Summary: 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 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.
- Czech Academy of Sciences Czech Republic
- Academy of Sciences Library Czech Republic
holomorphic inductive limit, projective description problem, Linear operators on function spaces (general), weighted estimate, Spaces defined by inductive or projective limits (LB, LF, etc.), Bergman projection, weighted sup-norm spaces
holomorphic inductive limit, projective description problem, Linear operators on function spaces (general), weighted estimate, Spaces defined by inductive or projective limits (LB, LF, etc.), Bergman projection, weighted sup-norm spaces
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