CIFASIS   20631
CENTRO INTERNACIONAL FRANCO ARGENTINO DE CIENCIAS DE LA INFORMACION Y DE SISTEMAS
Unidad Ejecutora - UE
artículos
Título:
Hypercyclic behaviour of some non-convolution operators on $H(C^N)$
Autor/es:
PINASCO, DAMIÁN; MURO, SANTIAGO; SAVRANSKY, MARTÍN
Revista:
JOURNAL OF OPERATOR THEORY
Editorial:
THETA FOUNDATION
Referencias:
Lugar: Bucharest; Año: 2017 vol. 77 p. 39 - 59
ISSN:
0379-4024
Resumen:
We study hypercyclicity properties of a family of non-convolutionoperators defined on spaces of holomorphic functions on $C^N$. These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on $H(C)$. The hypercyclic behavior is more involved than in the one dimensional case, and depends on several parameters involved.