$L^p$ regularity of weighted Szegő projections on the unit disc

Samangi Munasinghe and Yunus E. Zeytuncu

Vol. 276 (2015), No. 2, 449–458

DOI: 10.2140/pjm.2015.276.449

Abstract

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

Keywords

Szegő projection, $A_p$ weights, Weighted Hardy spaces, Dual spaces

Mathematical Subject Classification 2010

Primary: 32A25

Secondary: 32A35, 42B30

Milestones

Received: 14 April 2014

Revised: 29 October 2014

Accepted: 10 March 2015

Published: 15 July 2015