Article
Strongly omnipresent integral operators
Author/s | Bernal González, Luis
![]() ![]() ![]() ![]() ![]() ![]() ![]() Calderón Moreno, María del Carmen ![]() ![]() ![]() ![]() ![]() ![]() Grosse-Erdmann, Karl-Goswin |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2002-12 |
Deposit Date | 2019-06-18 |
Published in |
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Abstract | 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. |
Project ID. | PB96-1348
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Citation | 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. |
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