#### Vol. 276, No. 2, 2015

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

### Samangi Munasinghe and Yunus E. Zeytuncu

Vol. 276 (2015), No. 2, 449–458
##### 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
##### Authors
 Samangi Munasinghe Department of Mathematics Western Kentucky University Bowling Green, KY 42101 United States Yunus E. Zeytuncu Department of Mathematics and Statistics University of Michigan-Dearborn Dearborn, MI 48128 United States