6533b826fe1ef96bd12844f7

RESEARCH PRODUCT

A space of projections on the Bergman space

Oscar BlascoSalvador Pérez-esteva

subject

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsMathematics::Complex VariablesGeneral MathematicsInfinite-dimensional vector functionHolomorphic functionBanach spaceMathematics::General TopologyQuotient space (linear algebra)Continuous functions on a compact Hausdorff spaceBergman spaceBesov spaceBergman kernelMathematics

description

We define a set of projections on the Bergman space A 2 , which is parameterized by an ane subset of a Banach space of holomorphic functions in the disk and which includes the classical Forelli-Rudin projections.

https://doi.org/10.5186/aasfm.2010.3512