Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces

Hicham Arroussi; Jordi Pau

Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces

Complex Variables 2014-05-01 v4 Functional Analysis

Authors: Hicham Arroussi , Jordi Pau

Abstract

We obtain ceratin estimates for the reproducing kernels of large weighted Bergman spaces. Applications of these estimates to boundedness of the Bergman projection on $L^p(\D,\omega ^{p/2})$ , complex interpolation and duality of weighted Bergman spaces are given.

Keywords

bergman spaces reproducing kernel hilbert space

Cite

@article{arxiv.1309.6072,
  title  = {Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces},
  author = {Hicham Arroussi and Jordi Pau},
  journal= {arXiv preprint arXiv:1309.6072},
  year   = {2014}
}

Comments

The density assumptions appearing in some results of the previous version have been dropped, since the current version includes a proof that this condition is always satisfied for the class of weights considered, even in the non radial case. To appear in Journal of Geometric Analysis

Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces

Abstract

Keywords

Cite

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