On an observation of Sibony-Reference-Cited by-同舟云学术

On an observation of Sibony

Published:2019-03-21 Issue:8 Volume:147 Page:3451-3454
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chakrabarti Debraj

Abstract

It is shown that if the boundary of a Reinhardt domain in C n \mathbb {C}^n contains the origin, then the origin has a neighborhood to which each holomorphic function on the domain which is infinitely many times differentiable up to the boundary extends holomorphically.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2019-147-08/S0002-9939-2019-14476-2/proc14476_AM.pdf

Reference11 articles.

1. Zur Theorie der Singularitäten der Funktionen mehrerer komplexen Veränderlichen;Behnke, H.;Math. Ann.,1933

2. Boundary behavior of holomorphic functions on pseudoconvex domains;Catlin, David;J. Differential Geometry,1980

3. 𝐿^{𝑝} mapping properties of the Bergman projection on the Hartogs triangle;Chakrabarti, Debraj;Proc. Amer. Math. Soc.,2016

4. Pseudoconvex domains: an example with nontrivial Nebenhülle;Diederich, Klas;Math. Ann.,1977

5. The Bergman projection on fat Hartogs triangles: 𝐿^{𝑝} boundedness;Edholm, L. D.;Proc. Amer. Math. Soc.,2016

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