Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk

Contreras Márquez, Manuel Domingo; Díaz Madrigal, Santiago; Gumenyuk, Pavel

doi:10.1007/s12220-021-00659-4

Artículo

dc.creator	Contreras Márquez, Manuel Domingo	es
dc.creator	Díaz Madrigal, Santiago	es
dc.creator	Gumenyuk, Pavel	es
dc.date.accessioned	2021-06-28T11:32:49Z
dc.date.available	2021-06-28T11:32:49Z
dc.date.issued	2021-04
dc.identifier.citation	Contreras Márquez, M.D., Díaz Madrigal, S. y Gumenyuk, P. (2021). Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk. Journal of Geometric Analysis, April
dc.identifier.issn	1050-6926	es
dc.identifier.issn	1559-002X	es
dc.identifier.uri	https://hdl.handle.net/11441/114901
dc.description.abstract	We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of the Koenigs function). We establish a sufficient condition for the trajectories of the semigroup to converge to its Denjoy–Wolff point with a definite slope. We obtain as a corollary two previously known sufficient conditions.	es
dc.description.sponsorship	Ministerio de Economía y Competitividad (Spain) / European Union (FEDER) PGC2018-094215-B-100	es
dc.description.sponsorship	Junta de Andalucía (Spain) FQM-133	es
dc.format	application/pdf	es
dc.format.extent	31 p.	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Journal of Geometric Analysis, April
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Semigroups of holomorphic functions	es
dc.subject	Koenigs function	es
dc.subject	Planar domain	es
dc.subject	Slope problem	es
dc.subject	Primary: 30D05	es
dc.subject	Secondary: 30C35	es
dc.subject	30C45	es
dc.subject	34M15	es
dc.title	Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada II	es
dc.relation.projectID	PGC2018-094215-B-100	es
dc.relation.projectID	FQM-133	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007%2Fs12220-021-00659-4	es
dc.identifier.doi	10.1007/s12220-021-00659-4	es
dc.contributor.group	Universidad de Sevilla. FQM133: Grupo de Investigación en Análisis Funcional	es
dc.journaltitle	Journal of Geometric Analysis	es
dc.publication.issue	April	es

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