Article
Linear structure of the weighted holomorphic non-extendibility
Author/s | Bernal González, Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2006-06 |
Deposit Date | 2019-06-18 |
Published in |
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Abstract | In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear submanifold M1 and
a dense linear submanifold M2 with maximal algebraic dimension in the space ... In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear submanifold M1 and a dense linear submanifold M2 with maximal algebraic dimension in the space H(G) of holomorphic functions on G such that G is the domain of holomorphy of every nonzero member of f of M1 or M2 and, in addition, the growth of f near each boundary point is as fast as prescribed. |
Project ID. | FQM-127
BFM2003-03893-C02-01 MTM2004-21420-E |
Citation | Bernal González, L. (2006). Linear structure of the weighted holomorphic non-extendibility. Bulletin of the Australian Mathematical Society, 73 (3), 335-344. |
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