A note on smoothing properties of the Bergman projection

作者:Ravisankar Sivaguru*; Zeytuncu Yunus E
来源:International Journal of Mathematics, 2016, 27(11): 1650087.
DOI:10.1142/S0129167X16500877

摘要

Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on smoothly bounded domains that satisfy condition R. 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.

  • 出版日期2016-10