Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions

• Autorzy: Paweł Domański , Mikael Lindström
• Języki publikacji: EN

Abstrakty

EN

We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 30E05: Moment problems, interpolation problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 3
• Strony: 233-264

Daty

wydano

2002

Twórcy

autor

Paweł Domański

• Faculty of Mathematics and Computer Science, A. Mickiewicz University
• Institute of Mathematics, Polish Academy of Sciences, Poznań Branch, Umultowska 87, 61-614 Poznań, Poland

autor

Mikael Lindström

• Department of Mathematics, Department of Mathematics, Åbo Akademi University, FIN-20500 Åbo, Finland

Identyfikatory

DOI

10.4064/ap79-3-3