$L^p$ Regularity of Weighted Szegö Projections on the Unit Disc

Abstract

We present a family of weights on the unit disc for which the corresponding weighted Szegö projection operators are irregular on $L^p$ spaces. We further investigate the dual spaces of weighted Hardy spaces corresponding to this family.

References in corpus (2)

• Boundedness of the Bergman projection on $L^p$ spaces with exponential weights
• Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces