Linear structure of the weighted holomorphic non-extendibility

Bernal González, Luis

doi:10.1017/S0004972700035371

Artículo

dc.creator	Bernal González, Luis	es
dc.date.accessioned	2019-06-18T11:06:15Z
dc.date.available	2019-06-18T11:06:15Z
dc.date.issued	2006-06
dc.identifier.citation	Bernal González, L. (2006). Linear structure of the weighted holomorphic non-extendibility. Bulletin of the Australian Mathematical Society, 73 (3), 335-344.
dc.identifier.issn	0004-9727	es
dc.identifier.issn	1755-1633	es
dc.identifier.uri	https://hdl.handle.net/11441/87489
dc.description.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 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.	es
dc.description.sponsorship	Plan Andaluz de Investigación (Junta de Andalucía)	es
dc.description.sponsorship	Dirección General de Enseñanza Superior (DGES). España	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Cambridge University Press	es
dc.relation.ispartof	Bulletin of the Australian Mathematical Society, 73 (3), 335-344.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Holomorphic non-extendibility	es
dc.subject	Infinite-dimensional closed linear manifold	es
dc.subject	Maximal algebraic dimension	es
dc.subject	Spaceable set	es
dc.title	Linear structure of the weighted holomorphic non-extendibility	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	FQM-127	es
dc.relation.projectID	BFM2003-03893-C02-01	es
dc.relation.projectID	MTM2004-21420-E	es
dc.relation.publisherversion	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FFF372C494339714D82168437A35B207/S0004972700035371a.pdf/linear_structure_of_weighted_holomorphic_nonextendibility.pdf	es
dc.identifier.doi	10.1017/S0004972700035371	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	12 p.	es
dc.journaltitle	Bulletin of the Australian Mathematical Society	es
dc.publication.volumen	73	es
dc.publication.issue	3	es
dc.publication.initialPage	335	es
dc.publication.endPage	344	es

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