Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 35, 2010, 209-219

A SPACE OF PROJECTIONS ON THE BERGMAN SPACE

Oscar Blasco and Salvador Pérez-Esteva

Universidad de Valencia, Departamento de Matemáticas
46100-Burjassot (Valencia), Spain; Oscar.Blasco 'at' uv.es

Universidad Nacional Autónoma de México, Instituto de Matemáticas Unidad Cuernavaca
A.P. 273-3 ADMON 3, Cuernavaca, Mor., 62251, México; salvador 'at' matcuer.unam.mx

Abstract. We define a set of projections on the Bergman space A², which is parameterized by an affine subset of a Banach space of holomorphic functions in the disk and which includes the classical Forelli-Rudin projections.

2000 Mathematics Subject Classification: Primary 46E20.

Key words: Bergman spaces, projection.

Reference to this article: O. Blasco and S. Pérez-Esteva: A space of projections on the Bergman space. Ann. Acad. Sci. Fenn. Math. 35 (2010), 209-219.

Full document as PDF file

doi:10.5186/aasfm.2010.3512

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