Corona Problems in Spaces of Entire Functions with Growth Conditions

Authors

Graziano Gentili, Scuola Normale SuperioreFollow
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

1987

Abstract

Let be the space of entire functions with growth conditions introduced by Hörmander. If f…f m g belong to , let us consider the following condition: for some ε, C > 0. In this paper we prove, for a weight function and for and for q⩾1, that (*) does not imply, in general, that g 2−1/q (when defined) belongs to the ideal generated in We also find two different kinds of conditions on an m-tuple under which, if f 1…,f m g satisfy (*), then g belongs to the ideal generated in

Comments

This article was originally published in Complex Variables, Theory and Application: An International Journal, volume 9, issue 1, in 1987. DOI: 10.1080/17476938708814248

Recommended Citation

Gentili, G., & Struppa, D.C. (1987). Corona problems ins paces of entire functions with growth conditions. Complex Variables, Theory and Application: An International Journal, 9(1), 41-48. doi: 10.1080/17476938708814248

Peer Reviewed

1

Copyright

Taylor & Francis