0000000000594076

AUTHOR

Salvador Pérez-esteva

showing 2 related works from this author

The Bergman projection on weighted spaces: L1and Herz spaces

2002

We nd necessary and sucien t conditions on radial weights w on the unit disc so that the Bergman type projections of Forelli{Rudin are bounded on L 1 (w) and in the Herz spaces K q(w). 1. Introduction and preliminaries. The purpose of this paper is to study spaces of analytic functions on the unit disc D provided with a norm of a weighted Herz space. More precisely we consider the classical family of Bergman projections Ps, s > 1, and we give necessary and sucien t conditions on the weight making these projections continuous in the cor- responding weighted Herz space. We also consider the continuity of these

Pure mathematicsBergman spaceGeneral MathematicsNorm (mathematics)Bounded functionMathematical analysisMathematicsAnalytic functionStudia Mathematica
researchProduct

A space of projections on the Bergman space

2010

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.

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 kernelMathematicsAnnales Academiae Scientiarum Fennicae Mathematica
researchProduct