A note on smoothing properties of the Bergman projection-Reference-Cited by-同舟云学术

A note on smoothing properties of the Bergman projection

Published:2016-10 Issue:11 Volume:27 Page:1650087
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Ravisankar Sivaguru¹^ORCID,Zeytuncu Yunus E.²

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400005, Maharashtra, India

2. Department of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, MI 48128, USA

Abstract

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.

Funder

Simons Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X16500877

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