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

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 $L^p(\D,ω^{p/2})$, complex interpolation and duality of weighted Bergman spaces are given.

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

References in corpus (1)

• Pointwise estimates for the Bergman kernel of the weighted Fock space

Cited by in corpus (2)

• $L^p$ Regularity of Weighted Szegö Projections on the Unit Disc
• Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights