Artículo
Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
Autor/es | Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo López-Salazar Codes, Jerónimo Seoane Sepúlveda, Juan Benigno |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2019-04 |
Fecha de depósito | 2019-06-19 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | FQM-127
P08-FQM03543 MTM2015-65242-C2-1-P MTM2016-75963-P MTM2015-65825-P |
Cita | 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. |
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