dc.creator | Bernal González, Luis | es |
dc.creator | Bonilla Ramírez, Antonio Lorenzo | es |
dc.creator | López-Salazar Codes, Jerónimo | es |
dc.creator | Seoane Sepúlveda, Juan Benigno | es |
dc.date.accessioned | 2019-06-19T10:12:44Z | |
dc.date.available | 2019-06-19T10:12:44Z | |
dc.date.issued | 2019-04 | |
dc.identifier.citation | Bernal González, L., Bonilla Ramírez, A.L., López-Salazar Codes, J. y Seoane Sepúlveda, J.B. (2019). Nowhere hölderian functions and Pringsheim singular functions in the disc algebra. Monatshefte für Mathematik, 188 (4), 591-609. | |
dc.identifier.issn | 0026-9255 | es |
dc.identifier.issn | 1436-5081 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87523 | |
dc.description.abstract | We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach spaces in
the disc algebra all of whose nonzero members are not α-h¨olderian at any point of the unit circle for any α > 0. This completes the recently
established result of topological genericity of this kind of functions, as well as the corresponding lineability statements about functions that are nowhere differentiable at the boundary. Topological and algebraic
genericity is also studied for the family of boundary-smooth holomorphic functions that are Pringsheim singular at any point of the unit circle. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Monatshefte für Mathematik, 188 (4), 591-609. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nowhere hölderian function | es |
dc.subject | Pringsheim singular function | es |
dc.subject | Disc algebra | es |
dc.subject | Lineability | es |
dc.subject | Spaceability | es |
dc.subject | Algebrability | es |
dc.title | Nowhere hölderian functions and Pringsheim singular functions in the disc algebra | 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 | P08-FQM03543 | es |
dc.relation.projectID | MTM2015-65242-C2-1-P | es |
dc.relation.projectID | MTM2016-75963-P | es |
dc.relation.projectID | MTM2015-65825-P | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs00605-018-1185-8.pdf | es |
dc.identifier.doi | 10.1007/s00605-018-1185-8 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | Monatshefte für Mathematik | es |
dc.publication.volumen | 188 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 591 | es |
dc.publication.endPage | 609 | es |