Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Analytic functionals and the Bergman projection on circular domains
HTML articles powered by AMS MathViewer

by Paul Zorn PDF
Proc. Amer. Math. Soc. 96 (1986), 397-401 Request permission

Abstract:

A property of the Bergman projection associated to a bounded circular domain containing the origin in ${{\mathbf {C}}^N}$ is proved: Functions which extend to be holomorphic in large neighborhoods of the origin are characterized as Bergman projections of smooth functions with small support near the origin. For certain circular domains $D$, it is also shown that functions which extend holomorphically to a neighborhood of $\overline D$ are precisely the Bergman projections of smooth functions whose supports are compact subsets of $D$. Two applications to proper holomorphic mappings are given.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32H10, 46E20, 46F15
  • Retrieve articles in all journals with MSC: 32H10, 46E20, 46F15
Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 397-401
  • MSC: Primary 32H10; Secondary 46E20, 46F15
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0822427-9
  • MathSciNet review: 822427