Sharp $$L^p$$ Regularity of the Szegö Projection on the Hartogs Triangle

Abstract The Szegö projection for the topological boundary of the Hartogs triangle is bounded on $$L^p$$ L p for a finite interval of p that is different than the one already known for the Bergman projection. Both operators satisfy a weak-type estimate at the upper endpoint of $$L^p$$ L p boundedness but not at the lower endpoint. The Szegö kernel is written in closed form, which (in contrast to the Bergman kernel) contains log terms.