RT Journal Article
T1 A Hankel matrix acting on spaces of analytic functions.
A1 Girela-Álvarez, Daniel
A1 Merchán-Álvarez, Noel
K1 Hankel, Operadores de
K1 Hilbert, Operadores en espacio de
K1 Álgebra lineal
AB If μ is a positive Borel measure on the interval [0, 1) we let H_μ be the Hankel matrix { μ_{n,k} }_{n,k} with entries μ_{n,k} =μ_{n+k}, where, for μ_n denotes the moment of order n of μ. This matrix induces formally an operator on the space of all analytic functions in the unit disc D. This is a natural generalization of the classical Hilbert operator. In this paper we improve the results obtained in some recent papers concerning the action of the operators H_μ on Hardy spaces and on Möbius invariant spaces.
PB Springer
YR 2017
FD 2017-11-02
LK https://hdl.handle.net/10630/29152
UL https://hdl.handle.net/10630/29152
LA eng
NO Girela, D., Merchán, N. A Hankel Matrix Acting on Spaces of Analytic Functions. Integr. Equ. Oper. Theory 89, 581–594 (2017). https://doi.org/10.1007/s00020-017-2409-3
NO Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/15630?template=romeo
NO - Proyecto del Ministerio de Economía y Competitividad MTM2014-52865-P.- Proyecto de la Junta de Andalucía FQM-210.- Ayuda FPU del Ministerio de Educación, Cultura y Deporte FPU2013/01478.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026