Article
Holomorphic functions having large images under the action of differential operators
Author/s | Bernal González, Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1999-02-15 |
Deposit Date | 2019-06-19 |
Published in |
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Abstract | We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear differential operators generated by entire functions of subexponential type satisfying suitable ... We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear differential operators generated by entire functions of subexponential type satisfying suitable conditions, then there are holomorphic functions f on G such that the image of any open subset under the action of those operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives. A known statement about close orbits is also strengthened. |
Project ID. | PB96-1348 |
Citation | Bernal González, L. (1999). Holomorphic functions having large images under the action of differential operators. Journal of Mathematical Analysis and Applications, 230 (2), 390-399. |
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