A note on smoothing properties of the Bergman projection
Complex Variables
2016-08-30 v2
Abstract
Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on a class of pseudoconvex domains. We show that a further smoothing property holds on a family of Reinhardt domains; namely, the Bergman projection of conjugate holomorphic functions is holomorphic past the boundary.
Keywords
Cite
@article{arxiv.1603.03838,
title = {A note on smoothing properties of the Bergman projection},
author = {Sivaguru Ravisankar and Yunus E. Zeytuncu},
journal= {arXiv preprint arXiv:1603.03838},
year = {2016}
}
Comments
Added figure, expanded proof, to appear in the International Journal of Mathematics