Weighted $L^{∞}$-estimates for Bergman projections

• Autorzy: José Bonet , Miroslav Engliš , Jari Taskinen
• Języki publikacji: EN

Abstrakty

EN

We consider Bergman projections and some new generalizations of them on weighted $L^{∞}(𝔻)$-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.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 171
• Numer: 1
• Strony: 67-92

Daty

wydano

2005

Twórcy

autor

José Bonet

• E.T.S. Arquitectura, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

autor

Miroslav Engliš

• MÚ AV ČR, Žitná 25, 11567 Praha 1, Czech Republic

autor

Jari Taskinen

• Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FIN-00014 Helsinki, Finland

Identyfikatory

DOI

10.4064/sm171-1-4