Artículo
Strongly omnipresent integral operators
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen Grosse-Erdmann, Karl-Goswin |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2002-12 |
Fecha de depósito | 2019-06-18 |
Publicado en |
|
Resumen | An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual set of functions f ∈ H(G) such that T f exhibits an extremely “wild” behaviour near the boundary. ... An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual set of functions f ∈ H(G) such that T f exhibits an extremely “wild” behaviour near the boundary. The concept of strong omnipresence was recently introduced by the first two authors. In this paper it is proved that a large class of integral operators including Volterra operators with or without a perturbation by differential operators has this property, completing earlier work about differential and antidifferential operators. |
Identificador del proyecto | PB96-1348 |
Cita | Bernal González, L., Calderón Moreno, M.d.C. y Grosse-Erdmann, K. (2002). Strongly omnipresent integral operators. Integral Equations and Operator Theory, 44 (4), 397-409. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Strongly omnipresent integral ... | 246.2Kb | [PDF] | Ver/ | |